(7x-28)+(10x-13)=180

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Solution for (7x-28)+(10x-13)=180 equation:


Simplifying
(7x + -28) + (10x + -13) = 180

Reorder the terms:
(-28 + 7x) + (10x + -13) = 180

Remove parenthesis around (-28 + 7x)
-28 + 7x + (10x + -13) = 180

Reorder the terms:
-28 + 7x + (-13 + 10x) = 180

Remove parenthesis around (-13 + 10x)
-28 + 7x + -13 + 10x = 180

Reorder the terms:
-28 + -13 + 7x + 10x = 180

Combine like terms: -28 + -13 = -41
-41 + 7x + 10x = 180

Combine like terms: 7x + 10x = 17x
-41 + 17x = 180

Solving
-41 + 17x = 180

Solving for variable 'x'.

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

Add '41' to each side of the equation.
-41 + 41 + 17x = 180 + 41

Combine like terms: -41 + 41 = 0
0 + 17x = 180 + 41
17x = 180 + 41

Combine like terms: 180 + 41 = 221
17x = 221

Divide each side by '17'.
x = 13

Simplifying
x = 13

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