2x+6x+8=4x-2+(x-2)

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


Simplifying
2x + 6x + 8 = 4x + -2 + (x + -2)

Reorder the terms:
8 + 2x + 6x = 4x + -2 + (x + -2)

Combine like terms: 2x + 6x = 8x
8 + 8x = 4x + -2 + (x + -2)

Reorder the terms:
8 + 8x = 4x + -2 + (-2 + x)

Remove parenthesis around (-2 + x)
8 + 8x = 4x + -2 + -2 + x

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

Combine like terms: -2 + -2 = -4
8 + 8x = -4 + 4x + x

Combine like terms: 4x + x = 5x
8 + 8x = -4 + 5x

Solving
8 + 8x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 8x + -5x = -4 + 5x + -5x

Combine like terms: 8x + -5x = 3x
8 + 3x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + 3x = -4 + 0
8 + 3x = -4

Add '-8' to each side of the equation.
8 + -8 + 3x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = -4 + -8
3x = -4 + -8

Combine like terms: -4 + -8 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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