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

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Solution for 8(x+3)=(x-6) equation:


Simplifying
8(x + 3) = (x + -6)

Reorder the terms:
8(3 + x) = (x + -6)
(3 * 8 + x * 8) = (x + -6)
(24 + 8x) = (x + -6)

Reorder the terms:
24 + 8x = (-6 + x)

Remove parenthesis around (-6 + x)
24 + 8x = -6 + x

Solving
24 + 8x = -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 + 8x + -1x = -6 + x + -1x

Combine like terms: 8x + -1x = 7x
24 + 7x = -6 + x + -1x

Combine like terms: x + -1x = 0
24 + 7x = -6 + 0
24 + 7x = -6

Add '-24' to each side of the equation.
24 + -24 + 7x = -6 + -24

Combine like terms: 24 + -24 = 0
0 + 7x = -6 + -24
7x = -6 + -24

Combine like terms: -6 + -24 = -30
7x = -30

Divide each side by '7'.
x = -4.285714286

Simplifying
x = -4.285714286

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