Question

1. $\frac{5(2x - 14)}{3}+9 = 14$

Explanation:

Step1: Subtract 9 from both sides

$\frac{5(2x - 14)}{3}+9 - 9=14 - 9$
$\frac{5(2x - 14)}{3}=5$

Step2: Multiply both sides by 3

$\frac{5(2x - 14)}{3}\times3 = 5\times3$
$5(2x - 14)=15$

Step3: Divide both sides by 5

$\frac{5(2x - 14)}{5}=\frac{15}{5}$
$2x - 14 = 3$

Step4: Add 14 to both sides

$2x-14 + 14=3 + 14$
$2x=17$

Step5: Divide both sides by 2

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

Answer:

$x = 8.5$