6x-(-x+4)=-3(-x+8)

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Solution for 6x-(-x+4)=-3(-x+8) equation:


Simplifying
6x + -1(-1x + 4) = -3(-1x + 8)

Reorder the terms:
6x + -1(4 + -1x) = -3(-1x + 8)
6x + (4 * -1 + -1x * -1) = -3(-1x + 8)
6x + (-4 + 1x) = -3(-1x + 8)

Reorder the terms:
-4 + 6x + 1x = -3(-1x + 8)

Combine like terms: 6x + 1x = 7x
-4 + 7x = -3(-1x + 8)

Reorder the terms:
-4 + 7x = -3(8 + -1x)
-4 + 7x = (8 * -3 + -1x * -3)
-4 + 7x = (-24 + 3x)

Solving
-4 + 7x = -24 + 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 + 7x + -3x = -24 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-4 + 4x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 4x = -24 + 0
-4 + 4x = -24

Add '4' to each side of the equation.
-4 + 4 + 4x = -24 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = -24 + 4
4x = -24 + 4

Combine like terms: -24 + 4 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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