Answer
x=18
Work Step by Step
Start with the given equation.
$2(3x-4)+10=5(x+4)$
Apply the distributive property and simplify.
$6x-8+10=5x+20$
$6x+2=5x+20$
Subtract 5x from each side and simplify.
$6x+2-5x=5x+20-5x$
$x+2=20$
Subtract 2 from each side and simplify.
$x+2-2=20-2$
$x=18$