8x-4x+6=-x+14-3x+2

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Solution for 8x-4x+6=-x+14-3x+2 equation: 


Simplifying
8x + -4x + 6 = -1x + 14 + -3x + 2

Reorder the terms:
6 + 8x + -4x = -1x + 14 + -3x + 2

Combine like terms: 8x + -4x = 4x
6 + 4x = -1x + 14 + -3x + 2

Reorder the terms:
6 + 4x = 14 + 2 + -1x + -3x

Combine like terms: 14 + 2 = 16
6 + 4x = 16 + -1x + -3x

Combine like terms: -1x + -3x = -4x
6 + 4x = 16 + -4x

Solving
6 + 4x = 16 + -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.
6 + 4x + 4x = 16 + -4x + 4x

Combine like terms: 4x + 4x = 8x
6 + 8x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 8x = 16 + 0
6 + 8x = 16

Add '-6' to each side of the equation.
6 + -6 + 8x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 16 + -6
8x = 16 + -6

Combine like terms: 16 + -6 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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