-(x-4)=3x-8

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


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

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

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

Solving
4 + -1x = -8 + 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 + -1x + -3x = -8 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
4 + -4x = -8 + 0
4 + -4x = -8

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

Combine like terms: 4 + -4 = 0
0 + -4x = -8 + -4
-4x = -8 + -4

Combine like terms: -8 + -4 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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