6(x+4)=x-6

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


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

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

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

Solving
24 + 6x = -6 + 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 = -6 + x + -1x

Combine like terms: 6x + -1x = 5x
24 + 5x = -6 + x + -1x

Combine like terms: x + -1x = 0
24 + 5x = -6 + 0
24 + 5x = -6

Add '-24' to each side of the equation.
24 + -24 + 5x = -6 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = -6 + -24
5x = -6 + -24

Combine like terms: -6 + -24 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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