x-(2x-2)+3=3x+9

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Solution for x-(2x-2)+3=3x+9 equation:


Simplifying
x + -1(2x + -2) + 3 = 3x + 9

Reorder the terms:
x + -1(-2 + 2x) + 3 = 3x + 9
x + (-2 * -1 + 2x * -1) + 3 = 3x + 9
x + (2 + -2x) + 3 = 3x + 9

Reorder the terms:
2 + 3 + x + -2x = 3x + 9

Combine like terms: 2 + 3 = 5
5 + x + -2x = 3x + 9

Combine like terms: x + -2x = -1x
5 + -1x = 3x + 9

Reorder the terms:
5 + -1x = 9 + 3x

Solving
5 + -1x = 9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5 + -1x + -3x = 9 + 3x + -3x

Combine like terms: -1x + -3x = -4x
5 + -4x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -4x = 9 + 0
5 + -4x = 9

Add '-5' to each side of the equation.
5 + -5 + -4x = 9 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 9 + -5
-4x = 9 + -5

Combine like terms: 9 + -5 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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