(2x-13)+(5x-37)=180

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Solution for (2x-13)+(5x-37)=180 equation:


Simplifying
(2x + -13) + (5x + -37) = 180

Reorder the terms:
(-13 + 2x) + (5x + -37) = 180

Remove parenthesis around (-13 + 2x)
-13 + 2x + (5x + -37) = 180

Reorder the terms:
-13 + 2x + (-37 + 5x) = 180

Remove parenthesis around (-37 + 5x)
-13 + 2x + -37 + 5x = 180

Reorder the terms:
-13 + -37 + 2x + 5x = 180

Combine like terms: -13 + -37 = -50
-50 + 2x + 5x = 180

Combine like terms: 2x + 5x = 7x
-50 + 7x = 180

Solving
-50 + 7x = 180

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 50 + 7x = 180 + 50

Combine like terms: -50 + 50 = 0
0 + 7x = 180 + 50
7x = 180 + 50

Combine like terms: 180 + 50 = 230
7x = 230

Divide each side by '7'.
x = 32.85714286

Simplifying
x = 32.85714286

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