2 (x+5) + 2 = 3 (2x - 4) pleas show all work

Let's solve your equation step-by-step.

2 (x+5) + 2 = 3 (2x - 4)

Step 1: Simplify both sides of the equation.

2 (x+5) + 2 = 3 (2x - 4)

Simplify: (Show steps)

2x + 12 = 6x - 12

Step 2: Subtract 6x from both sides.

2x + 12 - 6x = 6x - 12 - 6x

- 4x + 12 = - 12

Step 3: Subtract 12 from both sides.

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

- 4x = - 24

Step 4: Divide both sides by - 4.

- 4x - 4 = - 24 - 4

x=6

Answer:

x = 6

Distribute the 2 and 3 ...

2x + 10 + 2 = 6x - 12

Combine like terms

2x + 12 = 6x - 12

Add 12 to both sides and subtract 2x from both sides. This will put the x on just one side of the equation.

24 = 4x

Then divide by 4 to isolate x

x = 6

Too make sure you have the right answer substitute 6 into the beginning equation.

2 (6 + 5) + 2 = 3 (2 (6) - 4)

2 (11) + 2 = 3 (12 - 4)

22 + 2 = 3 (8)

24 = 24