(11x-2)+(6x+2)+61=180

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Solution for (11x-2)+(6x+2)+61=180 equation:


Simplifying
(11x + -2) + (6x + 2) + 61 = 180

Reorder the terms:
(-2 + 11x) + (6x + 2) + 61 = 180

Remove parenthesis around (-2 + 11x)
-2 + 11x + (6x + 2) + 61 = 180

Reorder the terms:
-2 + 11x + (2 + 6x) + 61 = 180

Remove parenthesis around (2 + 6x)
-2 + 11x + 2 + 6x + 61 = 180

Reorder the terms:
-2 + 2 + 61 + 11x + 6x = 180

Combine like terms: -2 + 2 = 0
0 + 61 + 11x + 6x = 180
61 + 11x + 6x = 180

Combine like terms: 11x + 6x = 17x
61 + 17x = 180

Solving
61 + 17x = 180

Solving for variable 'x'.

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

Add '-61' to each side of the equation.
61 + -61 + 17x = 180 + -61

Combine like terms: 61 + -61 = 0
0 + 17x = 180 + -61
17x = 180 + -61

Combine like terms: 180 + -61 = 119
17x = 119

Divide each side by '17'.
x = 7

Simplifying
x = 7

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