Question

What is the solution to this equation?

9x-4(x-2)=x+ 20
OA. x=7
OB. x=-3
OC. x=-7
OD. x=3

Answer 1

x = 3

Explanation:

9x - 4 ( x - 2 ) = x + 20

First, solve the brackets.

9x - 4x + 8 = x + 20

Combine like terms.

5x + 8 = x + 20

Now, subtract x by both sides.

5x - x + 8 = 20

4x + 8 = 20

Then, subtract 8 by both sides.

4x = 20 - 8

4x = 12

Divide both sides by 4.

x = 3

Answer 2

x = 3

Explanation:

9x-4(x-2)=x+ 20

Distribute the 4 to solve for x

9x-4x+8=x+ 20

Combine like terms

5x+8 = x+20

Subtract x from each side

5x+8-x = x+20-x

4x+8 = 20

Subtract 8 from each side

4x+8-8 = 20-8

4x= 12

Divide by 4

4x/4 = 12/4

x = 3