8(x+1)=(x-2)

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Solution for 8(x+1)=(x-2) equation:


Simplifying
8(x + 1) = (x + -2)

Reorder the terms:
8(1 + x) = (x + -2)
(1 * 8 + x * 8) = (x + -2)
(8 + 8x) = (x + -2)

Reorder the terms:
8 + 8x = (-2 + x)

Remove parenthesis around (-2 + x)
8 + 8x = -2 + x

Solving
8 + 8x = -2 + 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.
8 + 8x + -1x = -2 + x + -1x

Combine like terms: 8x + -1x = 7x
8 + 7x = -2 + x + -1x

Combine like terms: x + -1x = 0
8 + 7x = -2 + 0
8 + 7x = -2

Add '-8' to each side of the equation.
8 + -8 + 7x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = -2 + -8
7x = -2 + -8

Combine like terms: -2 + -8 = -10
7x = -10

Divide each side by '7'.
x = -1.428571429

Simplifying
x = -1.428571429

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