Question

$\frac{12x-3}{12}=\frac{12x+3}{8}$
and the answer is $\frac{-5}{4}$

Answer 1

Answer:

$\sf x = -\dfrac{5}{4} \qquad or \qquad -1\dfrac{1}{4}$

Step-by-step explanation:

Given expression:

$\sf \dfrac{12x-3}{12} = \dfrac{12x+3}{8}$

Cross multiply:

$\sf 8(12x-3)= 12(12x+3)$

Distribute inside parenthesis:

$\sf 96x-24= 144x+36$

Collect like terms in one side:

$\sf 96x-144x= 36+24$

Simplify following:

$\sf -48x= 60$

Divide both sides by -48:

$\sf \dfrac{-48x}{-48} = \dfrac{60}{-48}$

Simplify following:

$\sf x = -\dfrac{5}{4} \:\ (improper\ fraction) \qquad or \qquad -1\dfrac{1}{4} \ (mixed \:\ fraction)$