(4x-8)+(x-11)+(x+13)=180

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Solution for (4x-8)+(x-11)+(x+13)=180 equation:


Simplifying
(4x + -8) + (x + -11) + (x + 13) = 180

Reorder the terms:
(-8 + 4x) + (x + -11) + (x + 13) = 180

Remove parenthesis around (-8 + 4x)
-8 + 4x + (x + -11) + (x + 13) = 180

Reorder the terms:
-8 + 4x + (-11 + x) + (x + 13) = 180

Remove parenthesis around (-11 + x)
-8 + 4x + -11 + x + (x + 13) = 180

Reorder the terms:
-8 + 4x + -11 + x + (13 + x) = 180

Remove parenthesis around (13 + x)
-8 + 4x + -11 + x + 13 + x = 180

Reorder the terms:
-8 + -11 + 13 + 4x + x + x = 180

Combine like terms: -8 + -11 = -19
-19 + 13 + 4x + x + x = 180

Combine like terms: -19 + 13 = -6
-6 + 4x + x + x = 180

Combine like terms: 4x + x = 5x
-6 + 5x + x = 180

Combine like terms: 5x + x = 6x
-6 + 6x = 180

Solving
-6 + 6x = 180

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 6x = 180 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 180 + 6
6x = 180 + 6

Combine like terms: 180 + 6 = 186
6x = 186

Divide each side by '6'.
x = 31

Simplifying
x = 31

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