I need help solving this problem please...thanks

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4x + 12 = 3x - 6 + 3x

4x + 12 = 6x - 6 (add the 3x's together)

12 = 2x - 6 (subtract 4x from both sides of equation)

18 = 2x (add 6 to both sides of equation)

9 = x (divide each side of equation by 2)

Distribute first:

4x + 12 = 3[x - 2 + x]

(make sure to distribute the negative, making the 2 negative and the x positive)

Continue distributing on the right:

4x + 12 = 3x - 6 + 3x

Combine like terms:

4x + 12 = 6x - 6

Now put all like terms together on same side:

4x-6x = -6 - 12 (subtract 6x and 12 from both sides)

Combine like terms:

-2x = -18 (same sign, add together and keep the sign)

Divide both sides by -2 to isolate x:

x = 9

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