Question

1. what is the solution to the equation $\frac{3x - 6}{2}+5 = 18$?

a. $\frac{16}{3}$ b. $\frac{32}{3}$ c. $\frac{37}{3}$ d. $\frac{38}{3}$ e. $\frac{52}{3}$

Explanation:

Step1: Isolate the fraction term

Subtract 5 from both sides of the equation $\frac{3x - 6}{2}+5 = 18$.
$\frac{3x - 6}{2}=18 - 5$
$\frac{3x - 6}{2}=13$

Step2: Eliminate the denominator

Multiply both sides of the equation by 2.
$3x-6=13\times2$
$3x - 6=26$

Step3: Isolate the term with x

Add 6 to both sides of the equation.
$3x=26 + 6$
$3x=32$

Step4: Solve for x

Divide both sides of the equation by 3.
$x=\frac{32}{3}$

Answer:

$x=\frac{32}{3}$