Answer
$x=-18$
Work Step by Step
Distribute $2$ on the left side of the equation and $3$ on the right side:
$$2(3+2x)=3(x-4)\\
6+4x=3x-12$$
Combine like terms by subtracting $3x$ to both sides first, then subtracting $6$ to both sides after:
$$
6 + 4x-3x = 3x - 12-3x\\
6+x=-12\\
6+x-6=-12-6\\
x=-18
$$
