-4(x-1)+2=4+6(-x+3)

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Solution for -4(x-1)+2=4+6(-x+3) equation:


Simplifying
-4(x + -1) + 2 = 4 + 6(-1x + 3)

Reorder the terms:
-4(-1 + x) + 2 = 4 + 6(-1x + 3)
(-1 * -4 + x * -4) + 2 = 4 + 6(-1x + 3)
(4 + -4x) + 2 = 4 + 6(-1x + 3)

Reorder the terms:
4 + 2 + -4x = 4 + 6(-1x + 3)

Combine like terms: 4 + 2 = 6
6 + -4x = 4 + 6(-1x + 3)

Reorder the terms:
6 + -4x = 4 + 6(3 + -1x)
6 + -4x = 4 + (3 * 6 + -1x * 6)
6 + -4x = 4 + (18 + -6x)

Combine like terms: 4 + 18 = 22
6 + -4x = 22 + -6x

Solving
6 + -4x = 22 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
6 + -4x + 6x = 22 + -6x + 6x

Combine like terms: -4x + 6x = 2x
6 + 2x = 22 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 2x = 22 + 0
6 + 2x = 22

Add '-6' to each side of the equation.
6 + -6 + 2x = 22 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 22 + -6
2x = 22 + -6

Combine like terms: 22 + -6 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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