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

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


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

Reorder the terms:
3(2 + 3x) = 2 + -2(x + -2)
(2 * 3 + 3x * 3) = 2 + -2(x + -2)
(6 + 9x) = 2 + -2(x + -2)

Reorder the terms:
6 + 9x = 2 + -2(-2 + x)
6 + 9x = 2 + (-2 * -2 + x * -2)
6 + 9x = 2 + (4 + -2x)

Combine like terms: 2 + 4 = 6
6 + 9x = 6 + -2x

Add '-6' to each side of the equation.
6 + -6 + 9x = 6 + -6 + -2x

Combine like terms: 6 + -6 = 0
0 + 9x = 6 + -6 + -2x
9x = 6 + -6 + -2x

Combine like terms: 6 + -6 = 0
9x = 0 + -2x
9x = -2x

Solving
9x = -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.
9x + 2x = -2x + 2x

Combine like terms: 9x + 2x = 11x
11x = -2x + 2x

Combine like terms: -2x + 2x = 0
11x = 0

Divide each side by '11'.
x = 0

Simplifying
x = 0

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