(2x+41)+(x-9)+(x)=180

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Solution for (2x+41)+(x-9)+(x)=180 equation:


Simplifying
(2x + 41) + (x + -9) + (x) = 180

Reorder the terms:
(41 + 2x) + (x + -9) + (x) = 180

Remove parenthesis around (41 + 2x)
41 + 2x + (x + -9) + (x) = 180

Reorder the terms:
41 + 2x + (-9 + x) + (x) = 180

Remove parenthesis around (-9 + x)
41 + 2x + -9 + x + (x) = 180
41 + 2x + -9 + x + x = 180

Reorder the terms:
41 + -9 + 2x + x + x = 180

Combine like terms: 41 + -9 = 32
32 + 2x + x + x = 180

Combine like terms: 2x + x = 3x
32 + 3x + x = 180

Combine like terms: 3x + x = 4x
32 + 4x = 180

Solving
32 + 4x = 180

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 4x = 180 + -32

Combine like terms: 32 + -32 = 0
0 + 4x = 180 + -32
4x = 180 + -32

Combine like terms: 180 + -32 = 148
4x = 148

Divide each side by '4'.
x = 37

Simplifying
x = 37

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