(2x-1)+(3x-7)+37=180

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Solution for (2x-1)+(3x-7)+37=180 equation:


Simplifying
(2x + -1) + (3x + -7) + 37 = 180

Reorder the terms:
(-1 + 2x) + (3x + -7) + 37 = 180

Remove parenthesis around (-1 + 2x)
-1 + 2x + (3x + -7) + 37 = 180

Reorder the terms:
-1 + 2x + (-7 + 3x) + 37 = 180

Remove parenthesis around (-7 + 3x)
-1 + 2x + -7 + 3x + 37 = 180

Reorder the terms:
-1 + -7 + 37 + 2x + 3x = 180

Combine like terms: -1 + -7 = -8
-8 + 37 + 2x + 3x = 180

Combine like terms: -8 + 37 = 29
29 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
29 + 5x = 180

Solving
29 + 5x = 180

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + 5x = 180 + -29

Combine like terms: 29 + -29 = 0
0 + 5x = 180 + -29
5x = 180 + -29

Combine like terms: 180 + -29 = 151
5x = 151

Divide each side by '5'.
x = 30.2

Simplifying
x = 30.2

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