x+(x+85)+(x-19)=180

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Solution for x+(x+85)+(x-19)=180 equation:


Simplifying
x + (x + 85) + (x + -19) = 180

Reorder the terms:
x + (85 + x) + (x + -19) = 180

Remove parenthesis around (85 + x)
x + 85 + x + (x + -19) = 180

Reorder the terms:
x + 85 + x + (-19 + x) = 180

Remove parenthesis around (-19 + x)
x + 85 + x + -19 + x = 180

Reorder the terms:
85 + -19 + x + x + x = 180

Combine like terms: 85 + -19 = 66
66 + x + x + x = 180

Combine like terms: x + x = 2x
66 + 2x + x = 180

Combine like terms: 2x + x = 3x
66 + 3x = 180

Solving
66 + 3x = 180

Solving for variable 'x'.

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

Add '-66' to each side of the equation.
66 + -66 + 3x = 180 + -66

Combine like terms: 66 + -66 = 0
0 + 3x = 180 + -66
3x = 180 + -66

Combine like terms: 180 + -66 = 114
3x = 114

Divide each side by '3'.
x = 38

Simplifying
x = 38

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