Answer
True for all $x$
Work Step by Step
$4x - 2(1 - x) = 3(2x + 1) - 5$
Expand $-2(1 - x)$ = $-2+2x$
Expand $3(2x + 1)$ = $6x+3$
Rewrite the equation:
$4x-2+2x= 6x+3-5$
$6x-2 = 6x-2$
Add 2 to both sides:
$6x-2+2 = 6x-2+2$
$6x = 6x$
Subtract 6x from both sides:
$6x-6x = 6x-6x$
$0=0$
Since both sides are equal, then the equation is true for all x.