(5x-8)+(2x+11)+(4x+1)=180

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Solution for (5x-8)+(2x+11)+(4x+1)=180 equation:


Simplifying
(5x + -8) + (2x + 11) + (4x + 1) = 180

Reorder the terms:
(-8 + 5x) + (2x + 11) + (4x + 1) = 180

Remove parenthesis around (-8 + 5x)
-8 + 5x + (2x + 11) + (4x + 1) = 180

Reorder the terms:
-8 + 5x + (11 + 2x) + (4x + 1) = 180

Remove parenthesis around (11 + 2x)
-8 + 5x + 11 + 2x + (4x + 1) = 180

Reorder the terms:
-8 + 5x + 11 + 2x + (1 + 4x) = 180

Remove parenthesis around (1 + 4x)
-8 + 5x + 11 + 2x + 1 + 4x = 180

Reorder the terms:
-8 + 11 + 1 + 5x + 2x + 4x = 180

Combine like terms: -8 + 11 = 3
3 + 1 + 5x + 2x + 4x = 180

Combine like terms: 3 + 1 = 4
4 + 5x + 2x + 4x = 180

Combine like terms: 5x + 2x = 7x
4 + 7x + 4x = 180

Combine like terms: 7x + 4x = 11x
4 + 11x = 180

Solving
4 + 11x = 180

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 11x = 180 + -4

Combine like terms: 4 + -4 = 0
0 + 11x = 180 + -4
11x = 180 + -4

Combine like terms: 180 + -4 = 176
11x = 176

Divide each side by '11'.
x = 16

Simplifying
x = 16

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