180=(5x-33)-(6x+4)

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Solution for 180=(5x-33)-(6x+4) equation:


Simplifying
180 = (5x + -33) + -1(6x + 4)

Reorder the terms:
180 = (-33 + 5x) + -1(6x + 4)

Remove parenthesis around (-33 + 5x)
180 = -33 + 5x + -1(6x + 4)

Reorder the terms:
180 = -33 + 5x + -1(4 + 6x)
180 = -33 + 5x + (4 * -1 + 6x * -1)
180 = -33 + 5x + (-4 + -6x)

Reorder the terms:
180 = -33 + -4 + 5x + -6x

Combine like terms: -33 + -4 = -37
180 = -37 + 5x + -6x

Combine like terms: 5x + -6x = -1x
180 = -37 + -1x

Solving
180 = -37 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
180 + x = -37 + -1x + x

Combine like terms: -1x + x = 0
180 + x = -37 + 0
180 + x = -37

Add '-180' to each side of the equation.
180 + -180 + x = -37 + -180

Combine like terms: 180 + -180 = 0
0 + x = -37 + -180
x = -37 + -180

Combine like terms: -37 + -180 = -217
x = -217

Simplifying
x = -217

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