(6x-7)+(103-x)+2x=180

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Solution for (6x-7)+(103-x)+2x=180 equation:


Simplifying
(6x + -7) + (103 + -1x) + 2x = 180

Reorder the terms:
(-7 + 6x) + (103 + -1x) + 2x = 180

Remove parenthesis around (-7 + 6x)
-7 + 6x + (103 + -1x) + 2x = 180

Remove parenthesis around (103 + -1x)
-7 + 6x + 103 + -1x + 2x = 180

Reorder the terms:
-7 + 103 + 6x + -1x + 2x = 180

Combine like terms: -7 + 103 = 96
96 + 6x + -1x + 2x = 180

Combine like terms: 6x + -1x = 5x
96 + 5x + 2x = 180

Combine like terms: 5x + 2x = 7x
96 + 7x = 180

Solving
96 + 7x = 180

Solving for variable 'x'.

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

Add '-96' to each side of the equation.
96 + -96 + 7x = 180 + -96

Combine like terms: 96 + -96 = 0
0 + 7x = 180 + -96
7x = 180 + -96

Combine like terms: 180 + -96 = 84
7x = 84

Divide each side by '7'.
x = 12

Simplifying
x = 12

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