4x+6-2x+2=8x+6-x+3

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Solution for 4x+6-2x+2=8x+6-x+3 equation:


Simplifying
4x + 6 + -2x + 2 = 8x + 6 + -1x + 3

Reorder the terms:
6 + 2 + 4x + -2x = 8x + 6 + -1x + 3

Combine like terms: 6 + 2 = 8
8 + 4x + -2x = 8x + 6 + -1x + 3

Combine like terms: 4x + -2x = 2x
8 + 2x = 8x + 6 + -1x + 3

Reorder the terms:
8 + 2x = 6 + 3 + 8x + -1x

Combine like terms: 6 + 3 = 9
8 + 2x = 9 + 8x + -1x

Combine like terms: 8x + -1x = 7x
8 + 2x = 9 + 7x

Solving
8 + 2x = 9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 2x + -7x = 9 + 7x + -7x

Combine like terms: 2x + -7x = -5x
8 + -5x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -5x = 9 + 0
8 + -5x = 9

Add '-8' to each side of the equation.
8 + -8 + -5x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 9 + -8
-5x = 9 + -8

Combine like terms: 9 + -8 = 1
-5x = 1

Divide each side by '-5'.
x = -0.2

Simplifying
x = -0.2

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