Question

25 POINTS!

Answer 1

$-\dfrac12x+3=-x+7$

Add -3 to both sides:

$-\dfrac12x+3-3=-x+7-3$
$-\dfrac12x=-x+4$

Multiply both sides by -2:

$-2\times\left(-\dfrac12\right)x=-2(-x+4)$
$x=-2(-x+4)$

On the right hand side, distribute the -2:

$x=2x-8$

Add -2x to both sides:

$x-2x=2x-2x-8$
$-x=-8$

Divide by -1:

$\dfrac{-x}{-1}=\dfrac{-8}{-1}$
$x=8$

(and not $x=-8$, unless the original equation wasn't correctly written/interpreted?)