Question

what is the solution to this equation3(4x+6)=9x+12

Answer 1

$3\left(4x+6\right)=9x+12​$

Step 1

use distributive property

$\begin{gathered} 3\left(4x+6\right)=9x+12​ \\ 12x+18=9x+12 \end{gathered}$

Step 2

move all terms with x in the left, and the numbers in the rigth

$\begin{gathered} 12x+18=9x+12 \\ 12x-9x=12-18 \\ 3x=-6 \\ \end{gathered}$

Step 3

divide each side by 3

$\begin{gathered} 3x=-6 \\ \frac{3x}{3}=\frac{-6}{3} \\ x=-2 \end{gathered}$

so,the answer is -2