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

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Solution for 3(3x+4)=2x-2 equation:


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

Reorder the terms:
3(4 + 3x) = 2x + -2
(4 * 3 + 3x * 3) = 2x + -2
(12 + 9x) = 2x + -2

Reorder the terms:
12 + 9x = -2 + 2x

Solving
12 + 9x = -2 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
12 + 9x + -2x = -2 + 2x + -2x

Combine like terms: 9x + -2x = 7x
12 + 7x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 7x = -2 + 0
12 + 7x = -2

Add '-12' to each side of the equation.
12 + -12 + 7x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = -2 + -12
7x = -2 + -12

Combine like terms: -2 + -12 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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