(5x-10)+(2x-20)=180

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Solution for (5x-10)+(2x-20)=180 equation:


Simplifying
(5x + -10) + (2x + -20) = 180

Reorder the terms:
(-10 + 5x) + (2x + -20) = 180

Remove parenthesis around (-10 + 5x)
-10 + 5x + (2x + -20) = 180

Reorder the terms:
-10 + 5x + (-20 + 2x) = 180

Remove parenthesis around (-20 + 2x)
-10 + 5x + -20 + 2x = 180

Reorder the terms:
-10 + -20 + 5x + 2x = 180

Combine like terms: -10 + -20 = -30
-30 + 5x + 2x = 180

Combine like terms: 5x + 2x = 7x
-30 + 7x = 180

Solving
-30 + 7x = 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 + 7x = 180 + 30

Combine like terms: -30 + 30 = 0
0 + 7x = 180 + 30
7x = 180 + 30

Combine like terms: 180 + 30 = 210
7x = 210

Divide each side by '7'.
x = 30

Simplifying
x = 30

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