(x-11)+(2x-7)+x=180

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Solution for (x-11)+(2x-7)+x=180 equation:


Simplifying
(x + -11) + (2x + -7) + x = 180

Reorder the terms:
(-11 + x) + (2x + -7) + x = 180

Remove parenthesis around (-11 + x)
-11 + x + (2x + -7) + x = 180

Reorder the terms:
-11 + x + (-7 + 2x) + x = 180

Remove parenthesis around (-7 + 2x)
-11 + x + -7 + 2x + x = 180

Reorder the terms:
-11 + -7 + x + 2x + x = 180

Combine like terms: -11 + -7 = -18
-18 + x + 2x + x = 180

Combine like terms: x + 2x = 3x
-18 + 3x + x = 180

Combine like terms: 3x + x = 4x
-18 + 4x = 180

Solving
-18 + 4x = 180

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 4x = 180 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = 180 + 18
4x = 180 + 18

Combine like terms: 180 + 18 = 198
4x = 198

Divide each side by '4'.
x = 49.5

Simplifying
x = 49.5

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