2x+(3x-10)+(5x-10)=180

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Solution for 2x+(3x-10)+(5x-10)=180 equation:


Simplifying
2x + (3x + -10) + (5x + -10) = 180

Reorder the terms:
2x + (-10 + 3x) + (5x + -10) = 180

Remove parenthesis around (-10 + 3x)
2x + -10 + 3x + (5x + -10) = 180

Reorder the terms:
2x + -10 + 3x + (-10 + 5x) = 180

Remove parenthesis around (-10 + 5x)
2x + -10 + 3x + -10 + 5x = 180

Reorder the terms:
-10 + -10 + 2x + 3x + 5x = 180

Combine like terms: -10 + -10 = -20
-20 + 2x + 3x + 5x = 180

Combine like terms: 2x + 3x = 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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