(12x-3)/(12)=(12x+3)/(8) and the answer is (-5)/(4)

Question

`(12x-3)/(12)=(12x+3)/(8)`
and the answer is
`(-5)/(4)`

Answer 1

`\sf x = -(5)/(4) \qquad or \qquad -1(1)/(4)`

Explanation:

Given expression:

`\sf (12x-3)/(12) = (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 (-48x)/(-48) = (60)/(-48)`

Simplify following:

`\sf x = -(5)/(4) \:\ (improper\ fraction) \qquad or \qquad -1(1)/(4) \ (mixed \:\ fraction)`