180=(8x-29)+(3x-1)+(6x-11)

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Solution for 180=(8x-29)+(3x-1)+(6x-11) equation:


Simplifying
180 = (8x + -29) + (3x + -1) + (6x + -11)

Reorder the terms:
180 = (-29 + 8x) + (3x + -1) + (6x + -11)

Remove parenthesis around (-29 + 8x)
180 = -29 + 8x + (3x + -1) + (6x + -11)

Reorder the terms:
180 = -29 + 8x + (-1 + 3x) + (6x + -11)

Remove parenthesis around (-1 + 3x)
180 = -29 + 8x + -1 + 3x + (6x + -11)

Reorder the terms:
180 = -29 + 8x + -1 + 3x + (-11 + 6x)

Remove parenthesis around (-11 + 6x)
180 = -29 + 8x + -1 + 3x + -11 + 6x

Reorder the terms:
180 = -29 + -1 + -11 + 8x + 3x + 6x

Combine like terms: -29 + -1 = -30
180 = -30 + -11 + 8x + 3x + 6x

Combine like terms: -30 + -11 = -41
180 = -41 + 8x + 3x + 6x

Combine like terms: 8x + 3x = 11x
180 = -41 + 11x + 6x

Combine like terms: 11x + 6x = 17x
180 = -41 + 17x

Solving
180 = -41 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
180 + -17x = -41 + 17x + -17x

Combine like terms: 17x + -17x = 0
180 + -17x = -41 + 0
180 + -17x = -41

Add '-180' to each side of the equation.
180 + -180 + -17x = -41 + -180

Combine like terms: 180 + -180 = 0
0 + -17x = -41 + -180
-17x = -41 + -180

Combine like terms: -41 + -180 = -221
-17x = -221

Divide each side by '-17'.
x = 13

Simplifying
x = 13

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