x+(x-20)+(x-40)=180

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Solution for x+(x-20)+(x-40)=180 equation:


Simplifying
x + (x + -20) + (x + -40) = 180

Reorder the terms:
x + (-20 + x) + (x + -40) = 180

Remove parenthesis around (-20 + x)
x + -20 + x + (x + -40) = 180

Reorder the terms:
x + -20 + x + (-40 + x) = 180

Remove parenthesis around (-40 + x)
x + -20 + x + -40 + x = 180

Reorder the terms:
-20 + -40 + x + x + x = 180

Combine like terms: -20 + -40 = -60
-60 + x + x + x = 180

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

Combine like terms: 2x + x = 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 = 240
3x = 240

Divide each side by '3'.
x = 80

Simplifying
x = 80

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