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

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


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

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

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

Combine like terms: 6 + 4 = 10
4 + -8x = 10 + -2x

Solving
4 + -8x = 10 + -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.
4 + -8x + 2x = 10 + -2x + 2x

Combine like terms: -8x + 2x = -6x
4 + -6x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + -6x = 10 + 0
4 + -6x = 10

Add '-4' to each side of the equation.
4 + -4 + -6x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = 10 + -4
-6x = 10 + -4

Combine like terms: 10 + -4 = 6
-6x = 6

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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