180=(180-(5x-50))+(8x-178)+(x+8)

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Solution for 180=(180-(5x-50))+(8x-178)+(x+8) equation: 


Simplifying
180 = (180 + -1(5x + -50)) + (8x + -178) + (x + 8)

Reorder the terms:
180 = (180 + -1(-50 + 5x)) + (8x + -178) + (x + 8)
180 = (180 + (-50 * -1 + 5x * -1)) + (8x + -178) + (x + 8)
180 = (180 + (50 + -5x)) + (8x + -178) + (x + 8)

Combine like terms: 180 + 50 = 230
180 = (230 + -5x) + (8x + -178) + (x + 8)

Remove parenthesis around (230 + -5x)
180 = 230 + -5x + (8x + -178) + (x + 8)

Reorder the terms:
180 = 230 + -5x + (-178 + 8x) + (x + 8)

Remove parenthesis around (-178 + 8x)
180 = 230 + -5x + -178 + 8x + (x + 8)

Reorder the terms:
180 = 230 + -5x + -178 + 8x + (8 + x)

Remove parenthesis around (8 + x)
180 = 230 + -5x + -178 + 8x + 8 + x

Reorder the terms:
180 = 230 + -178 + 8 + -5x + 8x + x

Combine like terms: 230 + -178 = 52
180 = 52 + 8 + -5x + 8x + x

Combine like terms: 52 + 8 = 60
180 = 60 + -5x + 8x + x

Combine like terms: -5x + 8x = 3x
180 = 60 + 3x + x

Combine like terms: 3x + x = 4x
180 = 60 + 4x

Solving
180 = 60 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
180 + -4x = 60 + 4x + -4x

Combine like terms: 4x + -4x = 0
180 + -4x = 60 + 0
180 + -4x = 60

Add '-180' to each side of the equation.
180 + -180 + -4x = 60 + -180

Combine like terms: 180 + -180 = 0
0 + -4x = 60 + -180
-4x = 60 + -180

Combine like terms: 60 + -180 = -120
-4x = -120

Divide each side by '-4'.
x = 30

Simplifying
x = 30

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