(2x-20)+(5x-13)=180

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Solution for (2x-20)+(5x-13)=180 equation:


Simplifying
(2x + -20) + (5x + -13) = 180

Reorder the terms:
(-20 + 2x) + (5x + -13) = 180

Remove parenthesis around (-20 + 2x)
-20 + 2x + (5x + -13) = 180

Reorder the terms:
-20 + 2x + (-13 + 5x) = 180

Remove parenthesis around (-13 + 5x)
-20 + 2x + -13 + 5x = 180

Reorder the terms:
-20 + -13 + 2x + 5x = 180

Combine like terms: -20 + -13 = -33
-33 + 2x + 5x = 180

Combine like terms: 2x + 5x = 7x
-33 + 7x = 180

Solving
-33 + 7x = 180

Solving for variable 'x'.

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

Add '33' to each side of the equation.
-33 + 33 + 7x = 180 + 33

Combine like terms: -33 + 33 = 0
0 + 7x = 180 + 33
7x = 180 + 33

Combine like terms: 180 + 33 = 213
7x = 213

Divide each side by '7'.
x = 30.42857143

Simplifying
x = 30.42857143

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