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

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


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

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

Combine like terms: -6x + 8x = 2x
12 + 2x = x + 10 + -3x

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

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

Solving
12 + 2x = 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.
12 + 2x + 2x = 10 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
12 + 4x = 10 + 0
12 + 4x = 10

Add '-12' to each side of the equation.
12 + -12 + 4x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 10 + -12
4x = 10 + -12

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

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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