(2x-2)+(2x-2)+(4x-12)=180

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Solution for (2x-2)+(2x-2)+(4x-12)=180 equation:


Simplifying
(2x + -2) + (2x + -2) + (4x + -12) = 180

Reorder the terms:
(-2 + 2x) + (2x + -2) + (4x + -12) = 180

Remove parenthesis around (-2 + 2x)
-2 + 2x + (2x + -2) + (4x + -12) = 180

Reorder the terms:
-2 + 2x + (-2 + 2x) + (4x + -12) = 180

Remove parenthesis around (-2 + 2x)
-2 + 2x + -2 + 2x + (4x + -12) = 180

Reorder the terms:
-2 + 2x + -2 + 2x + (-12 + 4x) = 180

Remove parenthesis around (-12 + 4x)
-2 + 2x + -2 + 2x + -12 + 4x = 180

Reorder the terms:
-2 + -2 + -12 + 2x + 2x + 4x = 180

Combine like terms: -2 + -2 = -4
-4 + -12 + 2x + 2x + 4x = 180

Combine like terms: -4 + -12 = -16
-16 + 2x + 2x + 4x = 180

Combine like terms: 2x + 2x = 4x
-16 + 4x + 4x = 180

Combine like terms: 4x + 4x = 8x
-16 + 8x = 180

Solving
-16 + 8x = 180

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 8x = 180 + 16

Combine like terms: -16 + 16 = 0
0 + 8x = 180 + 16
8x = 180 + 16

Combine like terms: 180 + 16 = 196
8x = 196

Divide each side by '8'.
x = 24.5

Simplifying
x = 24.5

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