2(2x-2)-3(x-3)+3x=3(x-1)-4

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Solution for 2(2x-2)-3(x-3)+3x=3(x-1)-4 equation: 


Simplifying
2(2x + -2) + -3(x + -3) + 3x = 3(x + -1) + -4

Reorder the terms:
2(-2 + 2x) + -3(x + -3) + 3x = 3(x + -1) + -4
(-2 * 2 + 2x * 2) + -3(x + -3) + 3x = 3(x + -1) + -4
(-4 + 4x) + -3(x + -3) + 3x = 3(x + -1) + -4

Reorder the terms:
-4 + 4x + -3(-3 + x) + 3x = 3(x + -1) + -4
-4 + 4x + (-3 * -3 + x * -3) + 3x = 3(x + -1) + -4
-4 + 4x + (9 + -3x) + 3x = 3(x + -1) + -4

Reorder the terms:
-4 + 9 + 4x + -3x + 3x = 3(x + -1) + -4

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

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

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

Reorder the terms:
5 + 4x = 3(-1 + x) + -4
5 + 4x = (-1 * 3 + x * 3) + -4
5 + 4x = (-3 + 3x) + -4

Reorder the terms:
5 + 4x = -3 + -4 + 3x

Combine like terms: -3 + -4 = -7
5 + 4x = -7 + 3x

Solving
5 + 4x = -7 + 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 + 4x + -3x = -7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
5 + 1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 1x = -7 + 0
5 + 1x = -7

Add '-5' to each side of the equation.
5 + -5 + 1x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = -7 + -5
1x = -7 + -5

Combine like terms: -7 + -5 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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