13) $\frac{30}{5}-\frac{92}{9}$
simplify the expression by combining like terms.
14) -4b - 3a + 2c + 3b - 5a
simplify the expression.
15) 4(6x + 2)+5(x + 4)
solve the equation.
16) 3(8x - 4)=28x
17) -3(x + 2)-18=-8 - 4
18) $\frac{x}{-3}-50 = 0$
19) 12x + 7 = 5x + 28
20) 309 - 155 = 22(x - 1)
21) 4(y + 3)=6y + 12
22) 4(3x - 2)+7 = 8x + 3
write the sentence as an equation. use x to represent \a number.\
23) four subtracted from nine times a number is equal to 23.
solve.
24) three times the sum of a number and 3 is 3 less than the number times 5. find the number.
25) greg sold his used electric saw and accessories for $759. if he received ten times as much money for the electric saw as he did for the accessories, find how much money he received for the electric saw.

Question

Accepted Answer

### 13)
# Explanation:
## Step1: Simplify each fraction
$\frac{30}{5}=6$ and $\frac{92}{9}$ remains as is. Then we have $6-\frac{92}{9}$.
## Step2: Get a common - denominator
$6=\frac{6	imes9}{9}=\frac{54}{9}$. So the expression becomes $\frac{54}{9}-\frac{92}{9}$.
## Step3: Subtract the fractions
$\frac{54 - 92}{9}=\frac{- 38}{9}=- \frac{38}{9}$
# Answer:
$-\frac{38}{9}$

### 14)
# Explanation:
## Step1: Combine like - terms for 'a'
$-3a-5a=-8a$
## Step2: Combine like - terms for 'b'
$-4b + 3b=-b$
## Step3: Write the simplified expression
The simplified expression is $-b-8a + 2c$
# Answer:
$-b-8a + 2c$

### 15)
# Explanation:
## Step1: Distribute the multiplication
$4(6x + 2)=24x+8$ and $5(x + 4)=5x + 20$.
## Step2: Combine like - terms
$(24x+8)+(5x + 20)=24x+5x+8 + 20=29x+28$
# Answer:
$29x + 28$

### 16)
# Explanation:
## Step1: Distribute on the left - hand side
$3(8x - 4)=24x-12$. So the equation becomes $24x-12 = 28x$.
## Step2: Move the 'x' terms to one side
Subtract $24x$ from both sides: $24x-24x-12=28x-24x$.
## Step3: Solve for 'x'
$-12 = 4x$, then $x=-3$
# Answer:
$x=-3$

### 17)
# Explanation:
## Step1: Simplify the right - hand side
$-8 - 4=-12$. The left - hand side is $-3(x + 2)-18=-3x-6-18=-3x-24$.
## Step2: Set up the equation
$-3x-24=-12$.
## Step3: Add 24 to both sides
$-3x-24 + 24=-12 + 24$, so $-3x = 12$.
## Step4: Solve for 'x'
$x=-4$
# Answer:
$x=-4$

### 18)
# Explanation:
## Step1: Add 50 to both sides
$\frac{x}{-3}-50 + 50=0 + 50$, so $\frac{x}{-3}=50$.
## Step2: Multiply both sides by - 3
$x=50	imes(-3)=-150$
# Answer:
$x=-150$

### 19)
# Explanation:
## Step1: Move the 'x' terms to one side
$12x-5x+7=5x-5x + 28$, so $7x+7 = 28$.
## Step2: Subtract 7 from both sides
$7x+7-7=28-7$, so $7x = 21$.
## Step3: Solve for 'x'
$x = 3$
# Answer:
$x = 3$

### 20)
# Explanation:
## Step1: Simplify the left - hand side
$309-155 = 154$. The equation is $154=22(x - 1)$.
## Step2: Distribute on the right - hand side
$154=22x-22$.
## Step3: Add 22 to both sides
$154 + 22=22x-22+22$, so $176=22x$.
## Step4: Solve for 'x'
$x = 8$
# Answer:
$x = 8$

### 21)
# Explanation:
## Step1: Distribute on the left - hand side
$4(y + 3)=4y+12$. The equation is $4y+12=6y + 12$.
## Step2: Move the 'y' terms to one side
$4y-6y+12=6y-6y + 12$, so $-2y+12 = 12$.
## Step3: Subtract 12 from both sides
$-2y+12-12=12-12$, so $-2y = 0$.
## Step4: Solve for 'y'
$y = 0$
# Answer:
$y = 0$

### 22)
# Explanation:
## Step1: Distribute on the left - hand side
$4(3x - 2)=12x-8$. The equation is $12x-8 + 7=8x+3$, or $12x-1=8x+3$.
## Step2: Move the 'x' terms to one side
$12x-8x-1=8x-8x + 3$, so $4x-1 = 3$.
## Step3: Add 1 to both sides
$4x-1+1=3+1$, so $4x = 4$.
## Step4: Solve for 'x'
$x = 1$
# Answer:
$x = 1$

### 23)
# Answer:
$9x-4=23$

### 24)
# Explanation:
## Step1: Translate the sentence into an equation
$3(x + 3)=5x-3$.
## Step2: Distribute on the left - hand side
$3x+9=5x-3$.
## Step3: Move the 'x' terms to one side
$3x-5x+9=5x-5x-3$, so $-2x+9=-3$.
## Step4: Subtract 9 from both sides
$-2x+9-9=-3-9$, so $-2x=-12$.
## Step5: Solve for 'x'
$x = 6$
# Answer:
$x = 6$

### 25)
# Explanation:
## Step1: Let the amount of money for accessories be $x$. Then the amount of money for the electric saw is $10x$.
The total amount is $x + 10x=759$.
## Step2: Combine like - terms
$11x=759$.
## Step3: Solve for 'x'
$x=\frac{759}{11}=69$.
## Step4: Find the amount for the electric saw
The amount for the electric saw is $10x$, so $10	imes69 = 690$.
# Answer:
$690$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

13)

Step1: Simplify each fraction

Step2: Get a common - denominator

Step3: Subtract the fractions

Step1: Combine like - terms for 'a'

Step2: Combine like - terms for 'b'

Step3: Write the simplified expression

Step1: Distribute the multiplication

Step2: Combine like - terms

Answer:

14)