(x+5)+(2x+40)+(x-17)=180

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Solution for (x+5)+(2x+40)+(x-17)=180 equation:


Simplifying
(x + 5) + (2x + 40) + (x + -17) = 180

Reorder the terms:
(5 + x) + (2x + 40) + (x + -17) = 180

Remove parenthesis around (5 + x)
5 + x + (2x + 40) + (x + -17) = 180

Reorder the terms:
5 + x + (40 + 2x) + (x + -17) = 180

Remove parenthesis around (40 + 2x)
5 + x + 40 + 2x + (x + -17) = 180

Reorder the terms:
5 + x + 40 + 2x + (-17 + x) = 180

Remove parenthesis around (-17 + x)
5 + x + 40 + 2x + -17 + x = 180

Reorder the terms:
5 + 40 + -17 + x + 2x + x = 180

Combine like terms: 5 + 40 = 45
45 + -17 + x + 2x + x = 180

Combine like terms: 45 + -17 = 28
28 + x + 2x + x = 180

Combine like terms: x + 2x = 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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