Question

what is the value of x, when $10(x + 2) = 3(x + 8)$? a. $x = \frac{3}{8}$ b. $x = 4$ c. $x = 2\frac{2}{3}$ d. $x = 1$ e. $x = 2$

Explanation:

Step1: Expand both sides

$10x + 20 = 5x + 40$

Step2: Subtract $5x$ from both sides

$10x - 5x + 20 = 5x - 5x + 40$
$5x + 20 = 40$

Step3: Subtract 20 from both sides

$5x + 20 - 20 = 40 - 20$
$5x = 20$

Step4: Divide by 5 on both sides

$x = \frac{20}{5}$

Answer:

B. $x=4$