(3x-2)+(5x-2)+72=180

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Solution for (3x-2)+(5x-2)+72=180 equation:


Simplifying
(3x + -2) + (5x + -2) + 72 = 180

Reorder the terms:
(-2 + 3x) + (5x + -2) + 72 = 180

Remove parenthesis around (-2 + 3x)
-2 + 3x + (5x + -2) + 72 = 180

Reorder the terms:
-2 + 3x + (-2 + 5x) + 72 = 180

Remove parenthesis around (-2 + 5x)
-2 + 3x + -2 + 5x + 72 = 180

Reorder the terms:
-2 + -2 + 72 + 3x + 5x = 180

Combine like terms: -2 + -2 = -4
-4 + 72 + 3x + 5x = 180

Combine like terms: -4 + 72 = 68
68 + 3x + 5x = 180

Combine like terms: 3x + 5x = 8x
68 + 8x = 180

Solving
68 + 8x = 180

Solving for variable 'x'.

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

Add '-68' to each side of the equation.
68 + -68 + 8x = 180 + -68

Combine like terms: 68 + -68 = 0
0 + 8x = 180 + -68
8x = 180 + -68

Combine like terms: 180 + -68 = 112
8x = 112

Divide each side by '8'.
x = 14

Simplifying
x = 14

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