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

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


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

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

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

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

Combine like terms: 4x + -1x = 3x
4 + 8x = 1 + 3x

Solving
4 + 8x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 8x + -3x = 1 + 3x + -3x

Combine like terms: 8x + -3x = 5x
4 + 5x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 5x = 1 + 0
4 + 5x = 1

Add '-4' to each side of the equation.
4 + -4 + 5x = 1 + -4

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

Combine like terms: 1 + -4 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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