(2x-13)+(x+41)+(x)=180

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Solution for (2x-13)+(x+41)+(x)=180 equation:


Simplifying
(2x + -13) + (x + 41) + (x) = 180

Reorder the terms:
(-13 + 2x) + (x + 41) + (x) = 180

Remove parenthesis around (-13 + 2x)
-13 + 2x + (x + 41) + (x) = 180

Reorder the terms:
-13 + 2x + (41 + x) + (x) = 180

Remove parenthesis around (41 + x)
-13 + 2x + 41 + x + (x) = 180
-13 + 2x + 41 + x + x = 180

Reorder the terms:
-13 + 41 + 2x + x + x = 180

Combine like terms: -13 + 41 = 28
28 + 2x + x + x = 180

Combine like terms: 2x + x = 3x
28 + 3x + x = 180

Combine like terms: 3x + x = 4x
28 + 4x = 180

Solving
28 + 4x = 180

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 4x = 180 + -28

Combine like terms: 28 + -28 = 0
0 + 4x = 180 + -28
4x = 180 + -28

Combine like terms: 180 + -28 = 152
4x = 152

Divide each side by '4'.
x = 38

Simplifying
x = 38

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