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

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


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

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

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

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

Reorder the terms:
2 + -1x = 3(-4 + x)
2 + -1x = (-4 * 3 + x * 3)
2 + -1x = (-12 + 3x)

Solving
2 + -1x = -12 + 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.
2 + -1x + -3x = -12 + 3x + -3x

Combine like terms: -1x + -3x = -4x
2 + -4x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -4x = -12 + 0
2 + -4x = -12

Add '-2' to each side of the equation.
2 + -2 + -4x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -12 + -2
-4x = -12 + -2

Combine like terms: -12 + -2 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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