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

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


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

Reorder the terms:
2(-3 + 3x) + 2(x + -3) = (2x + -1) + (2x + -1) + 2x
(-3 * 2 + 3x * 2) + 2(x + -3) = (2x + -1) + (2x + -1) + 2x
(-6 + 6x) + 2(x + -3) = (2x + -1) + (2x + -1) + 2x

Reorder the terms:
-6 + 6x + 2(-3 + x) = (2x + -1) + (2x + -1) + 2x
-6 + 6x + (-3 * 2 + x * 2) = (2x + -1) + (2x + -1) + 2x
-6 + 6x + (-6 + 2x) = (2x + -1) + (2x + -1) + 2x

Reorder the terms:
-6 + -6 + 6x + 2x = (2x + -1) + (2x + -1) + 2x

Combine like terms: -6 + -6 = -12
-12 + 6x + 2x = (2x + -1) + (2x + -1) + 2x

Combine like terms: 6x + 2x = 8x
-12 + 8x = (2x + -1) + (2x + -1) + 2x

Reorder the terms:
-12 + 8x = (-1 + 2x) + (2x + -1) + 2x

Remove parenthesis around (-1 + 2x)
-12 + 8x = -1 + 2x + (2x + -1) + 2x

Reorder the terms:
-12 + 8x = -1 + 2x + (-1 + 2x) + 2x

Remove parenthesis around (-1 + 2x)
-12 + 8x = -1 + 2x + -1 + 2x + 2x

Reorder the terms:
-12 + 8x = -1 + -1 + 2x + 2x + 2x

Combine like terms: -1 + -1 = -2
-12 + 8x = -2 + 2x + 2x + 2x

Combine like terms: 2x + 2x = 4x
-12 + 8x = -2 + 4x + 2x

Combine like terms: 4x + 2x = 6x
-12 + 8x = -2 + 6x

Solving
-12 + 8x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 8x + -6x = -2 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-12 + 2x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + 2x = -2 + 0
-12 + 2x = -2

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

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

Combine like terms: -2 + 12 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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