(x+35)+(2x-75)+(2x-20)=180

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Solution for (x+35)+(2x-75)+(2x-20)=180 equation: 


Simplifying
(x + 35) + (2x + -75) + (2x + -20) = 180

Reorder the terms:
(35 + x) + (2x + -75) + (2x + -20) = 180

Remove parenthesis around (35 + x)
35 + x + (2x + -75) + (2x + -20) = 180

Reorder the terms:
35 + x + (-75 + 2x) + (2x + -20) = 180

Remove parenthesis around (-75 + 2x)
35 + x + -75 + 2x + (2x + -20) = 180

Reorder the terms:
35 + x + -75 + 2x + (-20 + 2x) = 180

Remove parenthesis around (-20 + 2x)
35 + x + -75 + 2x + -20 + 2x = 180

Reorder the terms:
35 + -75 + -20 + x + 2x + 2x = 180

Combine like terms: 35 + -75 = -40
-40 + -20 + x + 2x + 2x = 180

Combine like terms: -40 + -20 = -60
-60 + x + 2x + 2x = 180

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

Combine like terms: 3x + 2x = 5x
-60 + 5x = 180

Solving
-60 + 5x = 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 + 5x = 180 + 60

Combine like terms: -60 + 60 = 0
0 + 5x = 180 + 60
5x = 180 + 60

Combine like terms: 180 + 60 = 240
5x = 240

Divide each side by '5'.
x = 48

Simplifying
x = 48

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