-6(x-2)+8=-x+10-3x

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Solution for -6(x-2)+8=-x+10-3x equation: 


Simplifying
-6(x + -2) + 8 = -1x + 10 + -3x

Reorder the terms:
-6(-2 + x) + 8 = -1x + 10 + -3x
(-2 * -6 + x * -6) + 8 = -1x + 10 + -3x
(12 + -6x) + 8 = -1x + 10 + -3x

Reorder the terms:
12 + 8 + -6x = -1x + 10 + -3x

Combine like terms: 12 + 8 = 20
20 + -6x = -1x + 10 + -3x

Reorder the terms:
20 + -6x = 10 + -1x + -3x

Combine like terms: -1x + -3x = -4x
20 + -6x = 10 + -4x

Solving
20 + -6x = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
20 + -6x + 4x = 10 + -4x + 4x

Combine like terms: -6x + 4x = -2x
20 + -2x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
20 + -2x = 10 + 0
20 + -2x = 10

Add '-20' to each side of the equation.
20 + -20 + -2x = 10 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = 10 + -20
-2x = 10 + -20

Combine like terms: 10 + -20 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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