Solve the equation. Show your work and check your solution.

4+4 (x-2) = 2 (x+1) - x

x=5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x+2=2 (x+6)

Simplify:

4x+2=2x+12

Step 2: Subtract 2x from both sides.

4x+2-2x=2x+12-2x

2x+2=12

Step 3: Subtract 2 from both sides.

2x+2-2=12-2

2x=10

Step 4: Divide both sides by 2.

2x/2 10/2

x = 3/5

Step-by-step explanation:

4+4 (x-2) = 2 (x+1) - x

Distribute

4+4x-8 = 2x+1-x

Rearrange and Simplify

4x - 4 = x + 1

Subtract x and add 4

3x = 5

Divide

x = 3/5