x+(5x-18)+90=180

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Solution for x+(5x-18)+90=180 equation:


Simplifying
x + (5x + -18) + 90 = 180

Reorder the terms:
x + (-18 + 5x) + 90 = 180

Remove parenthesis around (-18 + 5x)
x + -18 + 5x + 90 = 180

Reorder the terms:
-18 + 90 + x + 5x = 180

Combine like terms: -18 + 90 = 72
72 + x + 5x = 180

Combine like terms: x + 5x = 6x
72 + 6x = 180

Solving
72 + 6x = 180

Solving for variable 'x'.

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

Add '-72' to each side of the equation.
72 + -72 + 6x = 180 + -72

Combine like terms: 72 + -72 = 0
0 + 6x = 180 + -72
6x = 180 + -72

Combine like terms: 180 + -72 = 108
6x = 108

Divide each side by '6'.
x = 18

Simplifying
x = 18

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