180=77+(2x+3)+(180-6x)

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Solution for 180=77+(2x+3)+(180-6x) equation:


Simplifying
180 = 77 + (2x + 3) + (180 + -6x)

Reorder the terms:
180 = 77 + (3 + 2x) + (180 + -6x)

Remove parenthesis around (3 + 2x)
180 = 77 + 3 + 2x + (180 + -6x)

Remove parenthesis around (180 + -6x)
180 = 77 + 3 + 2x + 180 + -6x

Reorder the terms:
180 = 77 + 3 + 180 + 2x + -6x

Combine like terms: 77 + 3 = 80
180 = 80 + 180 + 2x + -6x

Combine like terms: 80 + 180 = 260
180 = 260 + 2x + -6x

Combine like terms: 2x + -6x = -4x
180 = 260 + -4x

Solving
180 = 260 + -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 = 260 + -4x + 4x

Combine like terms: -4x + 4x = 0
180 + 4x = 260 + 0
180 + 4x = 260

Add '-180' to each side of the equation.
180 + -180 + 4x = 260 + -180

Combine like terms: 180 + -180 = 0
0 + 4x = 260 + -180
4x = 260 + -180

Combine like terms: 260 + -180 = 80
4x = 80

Divide each side by '4'.
x = 20

Simplifying
x = 20

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