-(x-4)=3x+6

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


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

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

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

Solving
4 + -1x = 6 + 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 = 6 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
4 + -4x = 6 + 0
4 + -4x = 6

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

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

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

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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