8x-2x+4=2x+16-x-2

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Solution for 8x-2x+4=2x+16-x-2 equation:


Simplifying
8x + -2x + 4 = 2x + 16 + -1x + -2

Reorder the terms:
4 + 8x + -2x = 2x + 16 + -1x + -2

Combine like terms: 8x + -2x = 6x
4 + 6x = 2x + 16 + -1x + -2

Reorder the terms:
4 + 6x = 16 + -2 + 2x + -1x

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

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

Solving
4 + 6x = 14 + 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.
4 + 6x + -1x = 14 + 1x + -1x

Combine like terms: 6x + -1x = 5x
4 + 5x = 14 + 1x + -1x

Combine like terms: 1x + -1x = 0
4 + 5x = 14 + 0
4 + 5x = 14

Add '-4' to each side of the equation.
4 + -4 + 5x = 14 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 14 + -4
5x = 14 + -4

Combine like terms: 14 + -4 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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