Question

12(3+x)=5(2x+8) what is x

Answer 1

The given equation is

$12(3+x)=5(2x+8)$

First, we use the distributive property

$\begin{gathered} 12\cdot3+12x=5\cdot2x+5\cdot8 \\ 36+12x=10x+40 \end{gathered}$

Now, we subtract 10x from each side

$\begin{gathered} 36+12x-10x=10x-10x+40 \\ 36+2x=40 \end{gathered}$

Then, we subtract 36 from each side

$\begin{gathered} 36-36+2x=40-36 \\ 2x=4 \end{gathered}$

At last, we divide the equation by 2

$\begin{gathered} \frac{2x}{2}=\frac{4}{2} \\ x=2 \end{gathered}$

Hence, the solution is x = 2.