Question

A/b(2x-12)=c/d solve for x

Answer 1

Let's solve for x.

Layout equation:

a/b

(2x−12)=c/d

Step 1: Multiply both sides by b.

2ax−12a=bc/d

Step 2: Multiply both sides by d.

2adx−12ad=bc

Step 3: Add 12ad to both sides.

2adx−12ad+12ad=bc+12ad

2adx=12ad+bc

Step 4: Divide both sides by 2ad.

2adx/2ad=12ad+bc/2ad

So the answer is x=12ad+bc/2ad.

Answer 2

Answer:

$x = \dfrac{bc}{2ad} + 6$

Step-by-step explanation:

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

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

$2x - 12 = \dfrac{bc}{ad}$

$2x - 12 + 12 = \dfrac{bc}{ad} + 12$

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

$\dfrac{1}{2} \times 2x = \dfrac{1}{2} \times (\dfrac{bc}{ad} + 12)$

$x = \dfrac{bc}{2ad} + 6$