(3x+5)+(2x-6)+(8x-4)=180

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Solution for (3x+5)+(2x-6)+(8x-4)=180 equation:


Simplifying
(3x + 5) + (2x + -6) + (8x + -4) = 180

Reorder the terms:
(5 + 3x) + (2x + -6) + (8x + -4) = 180

Remove parenthesis around (5 + 3x)
5 + 3x + (2x + -6) + (8x + -4) = 180

Reorder the terms:
5 + 3x + (-6 + 2x) + (8x + -4) = 180

Remove parenthesis around (-6 + 2x)
5 + 3x + -6 + 2x + (8x + -4) = 180

Reorder the terms:
5 + 3x + -6 + 2x + (-4 + 8x) = 180

Remove parenthesis around (-4 + 8x)
5 + 3x + -6 + 2x + -4 + 8x = 180

Reorder the terms:
5 + -6 + -4 + 3x + 2x + 8x = 180

Combine like terms: 5 + -6 = -1
-1 + -4 + 3x + 2x + 8x = 180

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

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

Combine like terms: 5x + 8x = 13x
-5 + 13x = 180

Solving
-5 + 13x = 180

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 13x = 180 + 5

Combine like terms: -5 + 5 = 0
0 + 13x = 180 + 5
13x = 180 + 5

Combine like terms: 180 + 5 = 185
13x = 185

Divide each side by '13'.
x = 14.23076923

Simplifying
x = 14.23076923

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