Question

What is a / b (2x - 12) = c / d ; x ?
I cannot seem to find an answer without more than 4 fraction bars.
I come to x = c / d / a / b / 2 + 6.
Is this wrong?

Pre-IB Algebra - 2

Answer 1

we are given

$\frac{a}{b} (2x-12)=\frac{c}{d}$

we can solve for x

We can isolate x

step-1: Multiply both sides by b/a

$\frac{b}{a}*\frac{a}{b} (2x-12)=\frac{b}{a}*\frac{c}{d}$

$(2x-12)=\frac{bc}{ad}$

step-2:Add 12 both sides

$(2x-12)+12=\frac{bc}{ad}+12$

$2x=\frac{bc}{ad}+12$

step-3: combine right side

$2x=\frac{bc+12ad}{ad}$

step-4:Divide both sides by 2

$x=\frac{bc+12ad}{2ad}$..............Answer