#### Answer

$x=9$

#### Work Step by Step

Distribute 3 on the left side and 2 on the right side to obtain:
$3x-6+7=2x+10$
Combine like terms on each side of the equation to obtain:
$3x+1=2x+10$
Subtract $2x$ on both sides of the equation to obtain:
$x+1=10$
Subtract 1 on both sides of the equation to obtain:
$x=9$