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

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


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

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

Remove parenthesis around (-6 + 6x)
-6 + 6x + (2(x + -3)) = (2(2x + -1)) + 2x

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

Remove parenthesis around (-6 + 2x)
-6 + 6x + -6 + 2x = (2(2x + -1)) + 2x

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

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

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

Reorder the terms:
-12 + 8x = (2(-1 + 2x)) + 2x
-12 + 8x = ((-1 * 2 + 2x * 2)) + 2x
-12 + 8x = ((-2 + 4x)) + 2x
-12 + 8x = (-2 + 4x) + 2x

Remove parenthesis around (-2 + 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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