2x+(3x-10)+(110-x)=180

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Solution for 2x+(3x-10)+(110-x)=180 equation:


Simplifying
2x + (3x + -10) + (110 + -1x) = 180

Reorder the terms:
2x + (-10 + 3x) + (110 + -1x) = 180

Remove parenthesis around (-10 + 3x)
2x + -10 + 3x + (110 + -1x) = 180

Remove parenthesis around (110 + -1x)
2x + -10 + 3x + 110 + -1x = 180

Reorder the terms:
-10 + 110 + 2x + 3x + -1x = 180

Combine like terms: -10 + 110 = 100
100 + 2x + 3x + -1x = 180

Combine like terms: 2x + 3x = 5x
100 + 5x + -1x = 180

Combine like terms: 5x + -1x = 4x
100 + 4x = 180

Solving
100 + 4x = 180

Solving for variable 'x'.

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

Add '-100' to each side of the equation.
100 + -100 + 4x = 180 + -100

Combine like terms: 100 + -100 = 0
0 + 4x = 180 + -100
4x = 180 + -100

Combine like terms: 180 + -100 = 80
4x = 80

Divide each side by '4'.
x = 20

Simplifying
x = 20

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