#### Answer

$x=\dfrac{2}{3}$

#### Work Step by Step

Distribute $2$ (on the left side of the equation) and distribute 3 (on the right side), and then combine like terms:
$7+6x-10=8-(6x+3)
\\6x-3=8-6x-3
\\6x-3=-6x+5$
Solve the equation to obtain:
$6x+6x=5+3
\\12x=8
\\x=\frac{8}{12}
\\x=\frac{2}{3}$