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

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

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

Solving
8 + 8x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 8x + -2x = 4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
8 + 6x = 4 + 0
8 + 6x = 4

Add '-8' to each side of the equation.
8 + -8 + 6x = 4 + -8

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

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

Divide each side by '6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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