(8x-2)+(2x+38)+(10x-26)=180

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Solution for (8x-2)+(2x+38)+(10x-26)=180 equation:


Simplifying
(8x + -2) + (2x + 38) + (10x + -26) = 180

Reorder the terms:
(-2 + 8x) + (2x + 38) + (10x + -26) = 180

Remove parenthesis around (-2 + 8x)
-2 + 8x + (2x + 38) + (10x + -26) = 180

Reorder the terms:
-2 + 8x + (38 + 2x) + (10x + -26) = 180

Remove parenthesis around (38 + 2x)
-2 + 8x + 38 + 2x + (10x + -26) = 180

Reorder the terms:
-2 + 8x + 38 + 2x + (-26 + 10x) = 180

Remove parenthesis around (-26 + 10x)
-2 + 8x + 38 + 2x + -26 + 10x = 180

Reorder the terms:
-2 + 38 + -26 + 8x + 2x + 10x = 180

Combine like terms: -2 + 38 = 36
36 + -26 + 8x + 2x + 10x = 180

Combine like terms: 36 + -26 = 10
10 + 8x + 2x + 10x = 180

Combine like terms: 8x + 2x = 10x
10 + 10x + 10x = 180

Combine like terms: 10x + 10x = 20x
10 + 20x = 180

Solving
10 + 20x = 180

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 20x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 20x = 180 + -10
20x = 180 + -10

Combine like terms: 180 + -10 = 170
20x = 170

Divide each side by '20'.
x = 8.5

Simplifying
x = 8.5

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