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

`(a)/(b) (2x-12)=(c)/(d)`

we can solve for x

We can isolate x

step-1: Multiply both sides by b/a

`(b)/(a)*(a)/(b) (2x-12)=(b)/(a)*(c)/(d)`

`(2x-12)=(bc)/(ad)`

step-2:Add 12 both sides

`(2x-12)+12=(bc)/(ad)+12`

`2x=(bc)/(ad)+12`

step-3: combine right side

`2x=(bc+12ad)/(ad)`

step-4:Divide both sides by 2

`x=(bc+12ad)/(2ad)`..............Answer