2x+(3x-5)+(19-x)=180

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Solution for 2x+(3x-5)+(19-x)=180 equation:


Simplifying
2x + (3x + -5) + (19 + -1x) = 180

Reorder the terms:
2x + (-5 + 3x) + (19 + -1x) = 180

Remove parenthesis around (-5 + 3x)
2x + -5 + 3x + (19 + -1x) = 180

Remove parenthesis around (19 + -1x)
2x + -5 + 3x + 19 + -1x = 180

Reorder the terms:
-5 + 19 + 2x + 3x + -1x = 180

Combine like terms: -5 + 19 = 14
14 + 2x + 3x + -1x = 180

Combine like terms: 2x + 3x = 5x
14 + 5x + -1x = 180

Combine like terms: 5x + -1x = 4x
14 + 4x = 180

Solving
14 + 4x = 180

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 4x = 180 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 180 + -14
4x = 180 + -14

Combine like terms: 180 + -14 = 166
4x = 166

Divide each side by '4'.
x = 41.5

Simplifying
x = 41.5

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