180=123+(x-2)+(x-3)

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Solution for 180=123+(x-2)+(x-3) equation:


Simplifying
180 = 123 + (x + -2) + (x + -3)

Reorder the terms:
180 = 123 + (-2 + x) + (x + -3)

Remove parenthesis around (-2 + x)
180 = 123 + -2 + x + (x + -3)

Reorder the terms:
180 = 123 + -2 + x + (-3 + x)

Remove parenthesis around (-3 + x)
180 = 123 + -2 + x + -3 + x

Reorder the terms:
180 = 123 + -2 + -3 + x + x

Combine like terms: 123 + -2 = 121
180 = 121 + -3 + x + x

Combine like terms: 121 + -3 = 118
180 = 118 + x + x

Combine like terms: x + x = 2x
180 = 118 + 2x

Solving
180 = 118 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
180 + -2x = 118 + 2x + -2x

Combine like terms: 2x + -2x = 0
180 + -2x = 118 + 0
180 + -2x = 118

Add '-180' to each side of the equation.
180 + -180 + -2x = 118 + -180

Combine like terms: 180 + -180 = 0
0 + -2x = 118 + -180
-2x = 118 + -180

Combine like terms: 118 + -180 = -62
-2x = -62

Divide each side by '-2'.
x = 31

Simplifying
x = 31

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