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

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


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

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

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

Reorder the terms:
-2 + x + 10(2 + x) + (3x + -8) = 180
-2 + x + (2 * 10 + x * 10) + (3x + -8) = 180
-2 + x + (20 + 10x) + (3x + -8) = 180

Reorder the terms:
-2 + x + 20 + 10x + (-8 + 3x) = 180

Remove parenthesis around (-8 + 3x)
-2 + x + 20 + 10x + -8 + 3x = 180

Reorder the terms:
-2 + 20 + -8 + x + 10x + 3x = 180

Combine like terms: -2 + 20 = 18
18 + -8 + x + 10x + 3x = 180

Combine like terms: 18 + -8 = 10
10 + x + 10x + 3x = 180

Combine like terms: x + 10x = 11x
10 + 11x + 3x = 180

Combine like terms: 11x + 3x = 14x
10 + 14x = 180

Solving
10 + 14x = 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 + 14x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 14x = 180 + -10
14x = 180 + -10

Combine like terms: 180 + -10 = 170
14x = 170

Divide each side by '14'.
x = 12.14285714

Simplifying
x = 12.14285714

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