(6x+1)+(5x-17)+(9x-26)=180

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Solution for (6x+1)+(5x-17)+(9x-26)=180 equation:


Simplifying
(6x + 1) + (5x + -17) + (9x + -26) = 180

Reorder the terms:
(1 + 6x) + (5x + -17) + (9x + -26) = 180

Remove parenthesis around (1 + 6x)
1 + 6x + (5x + -17) + (9x + -26) = 180

Reorder the terms:
1 + 6x + (-17 + 5x) + (9x + -26) = 180

Remove parenthesis around (-17 + 5x)
1 + 6x + -17 + 5x + (9x + -26) = 180

Reorder the terms:
1 + 6x + -17 + 5x + (-26 + 9x) = 180

Remove parenthesis around (-26 + 9x)
1 + 6x + -17 + 5x + -26 + 9x = 180

Reorder the terms:
1 + -17 + -26 + 6x + 5x + 9x = 180

Combine like terms: 1 + -17 = -16
-16 + -26 + 6x + 5x + 9x = 180

Combine like terms: -16 + -26 = -42
-42 + 6x + 5x + 9x = 180

Combine like terms: 6x + 5x = 11x
-42 + 11x + 9x = 180

Combine like terms: 11x + 9x = 20x
-42 + 20x = 180

Solving
-42 + 20x = 180

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 20x = 180 + 42

Combine like terms: -42 + 42 = 0
0 + 20x = 180 + 42
20x = 180 + 42

Combine like terms: 180 + 42 = 222
20x = 222

Divide each side by '20'.
x = 11.1

Simplifying
x = 11.1

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