6x-8x+x-2=6-2x+3x

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


Simplifying
6x + -8x + x + -2 = 6 + -2x + 3x

Reorder the terms:
-2 + 6x + -8x + x = 6 + -2x + 3x

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

Combine like terms: -2x + x = -1x
-2 + -1x = 6 + -2x + 3x

Combine like terms: -2x + 3x = 1x
-2 + -1x = 6 + 1x

Solving
-2 + -1x = 6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + -1x + -1x = 6 + 1x + -1x

Combine like terms: -1x + -1x = -2x
-2 + -2x = 6 + 1x + -1x

Combine like terms: 1x + -1x = 0
-2 + -2x = 6 + 0
-2 + -2x = 6

Add '2' to each side of the equation.
-2 + 2 + -2x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = 6 + 2
-2x = 6 + 2

Combine like terms: 6 + 2 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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