(4x+17)+(2x-11)=180

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Solution for (4x+17)+(2x-11)=180 equation:


Simplifying
(4x + 17) + (2x + -11) = 180

Reorder the terms:
(17 + 4x) + (2x + -11) = 180

Remove parenthesis around (17 + 4x)
17 + 4x + (2x + -11) = 180

Reorder the terms:
17 + 4x + (-11 + 2x) = 180

Remove parenthesis around (-11 + 2x)
17 + 4x + -11 + 2x = 180

Reorder the terms:
17 + -11 + 4x + 2x = 180

Combine like terms: 17 + -11 = 6
6 + 4x + 2x = 180

Combine like terms: 4x + 2x = 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 = 174
6x = 174

Divide each side by '6'.
x = 29

Simplifying
x = 29

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