6(-x+4)=x-12

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Solution for 6(-x+4)=x-12 equation:


Simplifying
6(-1x + 4) = x + -12

Reorder the terms:
6(4 + -1x) = x + -12
(4 * 6 + -1x * 6) = x + -12
(24 + -6x) = x + -12

Reorder the terms:
24 + -6x = -12 + x

Solving
24 + -6x = -12 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
24 + -6x + -1x = -12 + x + -1x

Combine like terms: -6x + -1x = -7x
24 + -7x = -12 + x + -1x

Combine like terms: x + -1x = 0
24 + -7x = -12 + 0
24 + -7x = -12

Add '-24' to each side of the equation.
24 + -24 + -7x = -12 + -24

Combine like terms: 24 + -24 = 0
0 + -7x = -12 + -24
-7x = -12 + -24

Combine like terms: -12 + -24 = -36
-7x = -36

Divide each side by '-7'.
x = 5.142857143

Simplifying
x = 5.142857143

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