Question

Solve the following algebraic equation. Show each step of the process.6(x -8) = 96

Answer 1

start by distributing the 6 on the parentheses

$\begin{gathered} 6(x-8)=96 \\ 6x-48=96 \end{gathered}$

Continue by moving the numbers that are not multiplied by x on the right side, and leaving all numbers with the x on the left side

$\begin{gathered} 6x-48=96 \\ 6x=96+48 \\ 6x=144 \\ \end{gathered}$

since that is the value for '6x' divide by 6 on both sides

$\begin{gathered} \frac{6x}{6}=\frac{144}{6} \\ x=\frac{144}{6} \end{gathered}$

simplify

$\begin{gathered} x=\frac{144}{6} \\ x=24 \end{gathered}$