Question

number to apply to both sides of the equation.
question 1: 12d - 16 = 6
first add 16 on both sides of the equation.
then divide 12 on both sides of the equation.
question 2: 5 = \\(\frac{x + 4}{2}\\)
first multiply 2 on both sides of the equation.
then subtract 4 on both sides of the equation.
for each of the following questions, solve for the variable. round to the nearest tenth if needed.
question 3: 5 = \\(\frac{x + 4}{2}\\)
answer: 6
question 4: \\(\frac{p}{10}\\) + 5 = 14
answer: 90
question 5: 12d - 16 = 6
answer: 1.8
question 6: 5 = 10 - b
answer: 5

Explanation:

Question 3

Step1: Multiply both sides by 2

$$5 \times 2 = \frac{X+4}{2} \times 2$$
$$10 = X + 4$$

Step2: Subtract 4 from both sides

$$10 - 4 = X + 4 - 4$$
$$6 = X$$

Question 4

Step1: Subtract 5 from both sides

$$\frac{P}{10} + 5 - 5 = 14 - 5$$
$$\frac{P}{10} = 9$$

Step2: Multiply both sides by 10

$$\frac{P}{10} \times 10 = 9 \times 10$$
$$P = 90$$

Question 5

Step1: Add 16 to both sides

$$12D - 16 + 16 = 6 + 16$$
$$12D = 22$$

Step2: Divide both sides by 12

$$D = \frac{22}{12} \approx 1.8$$

Question 6

Step1: Subtract 10 from both sides

$$5 - 10 = 10 - B - 10$$
$$-5 = -B$$

Step2: Multiply by -1

$$B = 5$$

Answer:

Question 3: $X=6$
Question 4: $P=90$
Question 5: $D\approx1.8$
Question 6: $B=5$