3x+(2x+20)+(5x-40)=180

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Solution for 3x+(2x+20)+(5x-40)=180 equation:


Simplifying
3x + (2x + 20) + (5x + -40) = 180

Reorder the terms:
3x + (20 + 2x) + (5x + -40) = 180

Remove parenthesis around (20 + 2x)
3x + 20 + 2x + (5x + -40) = 180

Reorder the terms:
3x + 20 + 2x + (-40 + 5x) = 180

Remove parenthesis around (-40 + 5x)
3x + 20 + 2x + -40 + 5x = 180

Reorder the terms:
20 + -40 + 3x + 2x + 5x = 180

Combine like terms: 20 + -40 = -20
-20 + 3x + 2x + 5x = 180

Combine like terms: 3x + 2x = 5x
-20 + 5x + 5x = 180

Combine like terms: 5x + 5x = 10x
-20 + 10x = 180

Solving
-20 + 10x = 180

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 10x = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 180 + 20
10x = 180 + 20

Combine like terms: 180 + 20 = 200
10x = 200

Divide each side by '10'.
x = 20

Simplifying
x = 20

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