180=(6x+13)+(14x-33)

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Solution for 180=(6x+13)+(14x-33) equation:


Simplifying
180 = (6x + 13) + (14x + -33)

Reorder the terms:
180 = (13 + 6x) + (14x + -33)

Remove parenthesis around (13 + 6x)
180 = 13 + 6x + (14x + -33)

Reorder the terms:
180 = 13 + 6x + (-33 + 14x)

Remove parenthesis around (-33 + 14x)
180 = 13 + 6x + -33 + 14x

Reorder the terms:
180 = 13 + -33 + 6x + 14x

Combine like terms: 13 + -33 = -20
180 = -20 + 6x + 14x

Combine like terms: 6x + 14x = 20x
180 = -20 + 20x

Solving
180 = -20 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
180 + -20x = -20 + 20x + -20x

Combine like terms: 20x + -20x = 0
180 + -20x = -20 + 0
180 + -20x = -20

Add '-180' to each side of the equation.
180 + -180 + -20x = -20 + -180

Combine like terms: 180 + -180 = 0
0 + -20x = -20 + -180
-20x = -20 + -180

Combine like terms: -20 + -180 = -200
-20x = -200

Divide each side by '-20'.
x = 10

Simplifying
x = 10

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