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} (2x)/(2)=(4)/(2) \\ x=2 \end{gathered}`

Hence, the solution is x = 2.