Answer
$3$
Work Step by Step
Distribute $3$ then combine like terms:
$5x+3(2)-3(x)=12
\\5x+6-3x=12
\\(5x-3x)+6=12
\\2x+6=12$
Subtract $6$ to both sides of the equation:
$2x+6-6=12-6
\\2x=6$
Divide $2$ to both sides of the equation:
$\frac{2x}{2}=\frac{6}{2}
\\x=3$
Check:
$5x+3(2-x)=12
\\5(3) + 3(2-3)=12
\\15+3(-1)=12
\\15+(-3)=12
\\12=12$
Therefore, the solution to the given equation is $\color{blue}{3}$.
