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

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


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

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

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

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

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

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

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

Reorder the terms:
-12 + 8x = -2 + 2 + 4x

Combine like terms: -2 + 2 = 0
-12 + 8x = 0 + 4x
-12 + 8x = 4x

Solving
-12 + 8x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 8x + -4x = 4x + -4x

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

Combine like terms: 4x + -4x = 0
-12 + 4x = 0

Add '12' to each side of the equation.
-12 + 12 + 4x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 0 + 12
4x = 0 + 12

Combine like terms: 0 + 12 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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