(4x-2)+(5x+10)+(3x-8)+(5x+10)=180

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Solution for (4x-2)+(5x+10)+(3x-8)+(5x+10)=180 equation: 


Simplifying
(4x + -2) + (5x + 10) + (3x + -8) + (5x + 10) = 180

Reorder the terms:
(-2 + 4x) + (5x + 10) + (3x + -8) + (5x + 10) = 180

Remove parenthesis around (-2 + 4x)
-2 + 4x + (5x + 10) + (3x + -8) + (5x + 10) = 180

Reorder the terms:
-2 + 4x + (10 + 5x) + (3x + -8) + (5x + 10) = 180

Remove parenthesis around (10 + 5x)
-2 + 4x + 10 + 5x + (3x + -8) + (5x + 10) = 180

Reorder the terms:
-2 + 4x + 10 + 5x + (-8 + 3x) + (5x + 10) = 180

Remove parenthesis around (-8 + 3x)
-2 + 4x + 10 + 5x + -8 + 3x + (5x + 10) = 180

Reorder the terms:
-2 + 4x + 10 + 5x + -8 + 3x + (10 + 5x) = 180

Remove parenthesis around (10 + 5x)
-2 + 4x + 10 + 5x + -8 + 3x + 10 + 5x = 180

Reorder the terms:
-2 + 10 + -8 + 10 + 4x + 5x + 3x + 5x = 180

Combine like terms: -2 + 10 = 8
8 + -8 + 10 + 4x + 5x + 3x + 5x = 180

Combine like terms: 8 + -8 = 0
0 + 10 + 4x + 5x + 3x + 5x = 180
10 + 4x + 5x + 3x + 5x = 180

Combine like terms: 4x + 5x = 9x
10 + 9x + 3x + 5x = 180

Combine like terms: 9x + 3x = 12x
10 + 12x + 5x = 180

Combine like terms: 12x + 5x = 17x
10 + 17x = 180

Solving
10 + 17x = 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 + 17x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 17x = 180 + -10
17x = 180 + -10

Combine like terms: 180 + -10 = 170
17x = 170

Divide each side by '17'.
x = 10

Simplifying
x = 10

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