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

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


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

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

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

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

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

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

Combine like terms: -13 + -11 = -24
-24 + x + x + 4x = 180

Combine like terms: x + x = 2x
-24 + 2x + 4x = 180

Combine like terms: 2x + 4x = 6x
-24 + 6x = 180

Solving
-24 + 6x = 180

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 6x = 180 + 24

Combine like terms: -24 + 24 = 0
0 + 6x = 180 + 24
6x = 180 + 24

Combine like terms: 180 + 24 = 204
6x = 204

Divide each side by '6'.
x = 34

Simplifying
x = 34

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