Answer
$x=-5$
Work Step by Step
We are given that $3(x-2)+5x=6x-16$.
In order to solve for x, we must first simplify the left side using the distributive property.
$3x-6+5x=6x-16$
Group like terms on the left side.
$8x-6=6x-16$
Add 16 to both sides.
$8x+10=6x$
Subtract 8x from both sides.
$10=-2x$
Divide both sides by -2.
$x=-5$