180=(3x-8)+(x+2)

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Solution for 180=(3x-8)+(x+2) equation:


Simplifying
180 = (3x + -8) + (x + 2)

Reorder the terms:
180 = (-8 + 3x) + (x + 2)

Remove parenthesis around (-8 + 3x)
180 = -8 + 3x + (x + 2)

Reorder the terms:
180 = -8 + 3x + (2 + x)

Remove parenthesis around (2 + x)
180 = -8 + 3x + 2 + x

Reorder the terms:
180 = -8 + 2 + 3x + x

Combine like terms: -8 + 2 = -6
180 = -6 + 3x + x

Combine like terms: 3x + x = 4x
180 = -6 + 4x

Solving
180 = -6 + 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 = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
180 + -4x = -6 + 0
180 + -4x = -6

Add '-180' to each side of the equation.
180 + -180 + -4x = -6 + -180

Combine like terms: 180 + -180 = 0
0 + -4x = -6 + -180
-4x = -6 + -180

Combine like terms: -6 + -180 = -186
-4x = -186

Divide each side by '-4'.
x = 46.5

Simplifying
x = 46.5

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