(8x-6)+7x+x+(5x-5)+(x+2)=180

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Solution for (8x-6)+7x+x+(5x-5)+(x+2)=180 equation:


Simplifying
(8x + -6) + 7x + x + (5x + -5) + (x + 2) = 180

Reorder the terms:
(-6 + 8x) + 7x + x + (5x + -5) + (x + 2) = 180

Remove parenthesis around (-6 + 8x)
-6 + 8x + 7x + x + (5x + -5) + (x + 2) = 180

Reorder the terms:
-6 + 8x + 7x + x + (-5 + 5x) + (x + 2) = 180

Remove parenthesis around (-5 + 5x)
-6 + 8x + 7x + x + -5 + 5x + (x + 2) = 180

Reorder the terms:
-6 + 8x + 7x + x + -5 + 5x + (2 + x) = 180

Remove parenthesis around (2 + x)
-6 + 8x + 7x + x + -5 + 5x + 2 + x = 180

Reorder the terms:
-6 + -5 + 2 + 8x + 7x + x + 5x + x = 180

Combine like terms: -6 + -5 = -11
-11 + 2 + 8x + 7x + x + 5x + x = 180

Combine like terms: -11 + 2 = -9
-9 + 8x + 7x + x + 5x + x = 180

Combine like terms: 8x + 7x = 15x
-9 + 15x + x + 5x + x = 180

Combine like terms: 15x + x = 16x
-9 + 16x + 5x + x = 180

Combine like terms: 16x + 5x = 21x
-9 + 21x + x = 180

Combine like terms: 21x + x = 22x
-9 + 22x = 180

Solving
-9 + 22x = 180

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 22x = 180 + 9

Combine like terms: -9 + 9 = 0
0 + 22x = 180 + 9
22x = 180 + 9

Combine like terms: 180 + 9 = 189
22x = 189

Divide each side by '22'.
x = 8.590909091

Simplifying
x = 8.590909091

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