(13x-10)+(7x-10)=180

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Solution for (13x-10)+(7x-10)=180 equation: 


Simplifying
(13x + -10) + (7x + -10) = 180

Reorder the terms:
(-10 + 13x) + (7x + -10) = 180

Remove parenthesis around (-10 + 13x)
-10 + 13x + (7x + -10) = 180

Reorder the terms:
-10 + 13x + (-10 + 7x) = 180

Remove parenthesis around (-10 + 7x)
-10 + 13x + -10 + 7x = 180

Reorder the terms:
-10 + -10 + 13x + 7x = 180

Combine like terms: -10 + -10 = -20
-20 + 13x + 7x = 180

Combine like terms: 13x + 7x = 20x
-20 + 20x = 180

Solving
-20 + 20x = 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 + 20x = 180 + 20

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

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

Divide each side by '20'.
x = 10

Simplifying
x = 10

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