-2(x+1)=-6(4x-1)+8x

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Solution for -2(x+1)=-6(4x-1)+8x equation:


Simplifying
-2(x + 1) = -6(4x + -1) + 8x

Reorder the terms:
-2(1 + x) = -6(4x + -1) + 8x
(1 * -2 + x * -2) = -6(4x + -1) + 8x
(-2 + -2x) = -6(4x + -1) + 8x

Reorder the terms:
-2 + -2x = -6(-1 + 4x) + 8x
-2 + -2x = (-1 * -6 + 4x * -6) + 8x
-2 + -2x = (6 + -24x) + 8x

Combine like terms: -24x + 8x = -16x
-2 + -2x = 6 + -16x

Solving
-2 + -2x = 6 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-2 + -2x + 16x = 6 + -16x + 16x

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

Combine like terms: -16x + 16x = 0
-2 + 14x = 6 + 0
-2 + 14x = 6

Add '2' to each side of the equation.
-2 + 2 + 14x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 14x = 6 + 2
14x = 6 + 2

Combine like terms: 6 + 2 = 8
14x = 8

Divide each side by '14'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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