180=(5x-17)+(3x+11)

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Solution for 180=(5x-17)+(3x+11) equation:


Simplifying
180 = (5x + -17) + (3x + 11)

Reorder the terms:
180 = (-17 + 5x) + (3x + 11)

Remove parenthesis around (-17 + 5x)
180 = -17 + 5x + (3x + 11)

Reorder the terms:
180 = -17 + 5x + (11 + 3x)

Remove parenthesis around (11 + 3x)
180 = -17 + 5x + 11 + 3x

Reorder the terms:
180 = -17 + 11 + 5x + 3x

Combine like terms: -17 + 11 = -6
180 = -6 + 5x + 3x

Combine like terms: 5x + 3x = 8x
180 = -6 + 8x

Solving
180 = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
180 + -8x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
180 + -8x = -6 + 0
180 + -8x = -6

Add '-180' to each side of the equation.
180 + -180 + -8x = -6 + -180

Combine like terms: 180 + -180 = 0
0 + -8x = -6 + -180
-8x = -6 + -180

Combine like terms: -6 + -180 = -186
-8x = -186

Divide each side by '-8'.
x = 23.25

Simplifying
x = 23.25

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