Question

1. what is the value of x in the equation below?

3 - 2(x + 5) = 10

a. -11.5

b. 11.5

c. -8.5

d. 8.5

Explanation:

Question 3

Step1: Distribute the -2

$10x - 2(x + 5) = 20$ becomes $10x - 2x - 10 = 20$

Step2: Combine like terms

$8x - 10 = 20$

Step3: Add 10 to both sides

$8x = 30$

Step4: Divide by 8

$x = \frac{30}{8} = 3.75$

Step1: Distribute the 7

$7(5x + 3) - 41 = 10$ becomes $35x + 21 - 41 = 10$

Step2: Combine like terms

$35x - 20 = 10$

Step3: Add 20 to both sides

$35x = 30$

Step4: Divide by 35

$x = \frac{30}{35} = \frac{6}{7} \approx 0.857$

Step1: Distribute the -2

$3 - 2(x + 5) = 10$ becomes $3 - 2x - 10 = 10$

Step2: Combine like terms

$-2x - 7 = 10$

Step3: Add 7 to both sides

$-2x = 17$

Step4: Divide by -2

$x = -\frac{17}{2} = -8.5$

Answer:

$\boxed{3.75}$

Question 4