#### Answer

$x=-7$

#### Work Step by Step

$10-(2x-4)=7-3x$
First, remove the parentheses by changing the sign of every term inside it:
$10-2x+4=7-3x$
Substract $10$ to both sides of the equation
$10-10-2x+4=7-3x-10$
$-2x+4=-3x-3$
Substract $4$ to both sides of the equation:
$-2x+4-4=-3x-3-4$
$-2x=-3x-7$
To finally get the answer, add $3x$ to both sides of the equation:
$-2x+3x=-3x+3x-7$
$x=-7$