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

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


Simplifying
3(-1x + 4) + (-1x + -8) = 10 + -2x

Reorder the terms:
3(4 + -1x) + (-1x + -8) = 10 + -2x
(4 * 3 + -1x * 3) + (-1x + -8) = 10 + -2x
(12 + -3x) + (-1x + -8) = 10 + -2x

Reorder the terms:
12 + -3x + (-8 + -1x) = 10 + -2x

Remove parenthesis around (-8 + -1x)
12 + -3x + -8 + -1x = 10 + -2x

Reorder the terms:
12 + -8 + -3x + -1x = 10 + -2x

Combine like terms: 12 + -8 = 4
4 + -3x + -1x = 10 + -2x

Combine like terms: -3x + -1x = -4x
4 + -4x = 10 + -2x

Solving
4 + -4x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
4 + -4x + 2x = 10 + -2x + 2x

Combine like terms: -4x + 2x = -2x
4 + -2x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + -2x = 10 + 0
4 + -2x = 10

Add '-4' to each side of the equation.
4 + -4 + -2x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 10 + -4
-2x = 10 + -4

Combine like terms: 10 + -4 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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