(x-20)+(x-10)+x=180

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Solution for (x-20)+(x-10)+x=180 equation:


Simplifying
(x + -20) + (x + -10) + x = 180

Reorder the terms:
(-20 + x) + (x + -10) + x = 180

Remove parenthesis around (-20 + x)
-20 + x + (x + -10) + x = 180

Reorder the terms:
-20 + x + (-10 + x) + x = 180

Remove parenthesis around (-10 + x)
-20 + x + -10 + x + x = 180

Reorder the terms:
-20 + -10 + x + x + x = 180

Combine like terms: -20 + -10 = -30
-30 + x + x + x = 180

Combine like terms: x + x = 2x
-30 + 2x + x = 180

Combine like terms: 2x + x = 3x
-30 + 3x = 180

Solving
-30 + 3x = 180

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 3x = 180 + 30

Combine like terms: -30 + 30 = 0
0 + 3x = 180 + 30
3x = 180 + 30

Combine like terms: 180 + 30 = 210
3x = 210

Divide each side by '3'.
x = 70

Simplifying
x = 70

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