Question

solve the following equation. type your answer in the box.
$-4(2 - 3x) = 7 - 2(x - 3)$

Explanation:

Step1: Expand both sides

$-4(2-3x) = -8 + 12x$; $7-2(x-3)=7-2x+6=13-2x$
Equation becomes: $-8 + 12x = 13 - 2x$

Step2: Collect x terms on left

Add $2x$ to both sides: $-8 + 12x + 2x = 13 - 2x + 2x$
$\implies -8 + 14x = 13$

Step3: Isolate constant terms on right

Add 8 to both sides: $-8 + 14x + 8 = 13 + 8$
$\implies 14x = 21$

Step4: Solve for x

Divide by 14: $x = \frac{21}{14} = \frac{3}{2}$

Answer:

$\frac{3}{2}$