3(3x+2)=x-2

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


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

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

Reorder the terms:
6 + 9x = -2 + x

Solving
6 + 9x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 9x + -1x = -2 + x + -1x

Combine like terms: 9x + -1x = 8x
6 + 8x = -2 + x + -1x

Combine like terms: x + -1x = 0
6 + 8x = -2 + 0
6 + 8x = -2

Add '-6' to each side of the equation.
6 + -6 + 8x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -2 + -6
8x = -2 + -6

Combine like terms: -2 + -6 = -8
8x = -8

Divide each side by '8'.
x = -1

Simplifying
x = -1

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