(x-15)+(x-25)+100+1x=180

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Solution for (x-15)+(x-25)+100+1x=180 equation:


Simplifying
(x + -15) + (x + -25) + 100 + 1x = 180

Reorder the terms:
(-15 + x) + (x + -25) + 100 + 1x = 180

Remove parenthesis around (-15 + x)
-15 + x + (x + -25) + 100 + 1x = 180

Reorder the terms:
-15 + x + (-25 + x) + 100 + 1x = 180

Remove parenthesis around (-25 + x)
-15 + x + -25 + x + 100 + 1x = 180

Reorder the terms:
-15 + -25 + 100 + x + x + 1x = 180

Combine like terms: -15 + -25 = -40
-40 + 100 + x + x + 1x = 180

Combine like terms: -40 + 100 = 60
60 + x + x + 1x = 180

Combine like terms: x + x = 2x
60 + 2x + 1x = 180

Combine like terms: 2x + 1x = 3x
60 + 3x = 180

Solving
60 + 3x = 180

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 3x = 180 + -60

Combine like terms: 60 + -60 = 0
0 + 3x = 180 + -60
3x = 180 + -60

Combine like terms: 180 + -60 = 120
3x = 120

Divide each side by '3'.
x = 40

Simplifying
x = 40

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