(x+14)+(4x-19)+90=180

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Solution for (x+14)+(4x-19)+90=180 equation:


Simplifying
(x + 14) + (4x + -19) + 90 = 180

Reorder the terms:
(14 + x) + (4x + -19) + 90 = 180

Remove parenthesis around (14 + x)
14 + x + (4x + -19) + 90 = 180

Reorder the terms:
14 + x + (-19 + 4x) + 90 = 180

Remove parenthesis around (-19 + 4x)
14 + x + -19 + 4x + 90 = 180

Reorder the terms:
14 + -19 + 90 + x + 4x = 180

Combine like terms: 14 + -19 = -5
-5 + 90 + x + 4x = 180

Combine like terms: -5 + 90 = 85
85 + x + 4x = 180

Combine like terms: x + 4x = 5x
85 + 5x = 180

Solving
85 + 5x = 180

Solving for variable 'x'.

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

Add '-85' to each side of the equation.
85 + -85 + 5x = 180 + -85

Combine like terms: 85 + -85 = 0
0 + 5x = 180 + -85
5x = 180 + -85

Combine like terms: 180 + -85 = 95
5x = 95

Divide each side by '5'.
x = 19

Simplifying
x = 19

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