2-2x+6x=-2(-4x+1)

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Solution for 2-2x+6x=-2(-4x+1) equation: 


Simplifying
2 + -2x + 6x = -2(-4x + 1)

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

Reorder the terms:
2 + 4x = -2(1 + -4x)
2 + 4x = (1 * -2 + -4x * -2)
2 + 4x = (-2 + 8x)

Solving
2 + 4x = -2 + 8x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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