180-x=3(x-2)

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


Simplifying
180 + -1x = 3(x + -2)

Reorder the terms:
180 + -1x = 3(-2 + x)
180 + -1x = (-2 * 3 + x * 3)
180 + -1x = (-6 + 3x)

Solving
180 + -1x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
180 + -1x + -3x = -6 + 3x + -3x

Combine like terms: -1x + -3x = -4x
180 + -4x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 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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