-8(x+1)=x-(2+6x)

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Solution for -8(x+1)=x-(2+6x) equation:


Simplifying
-8(x + 1) = x + -1(2 + 6x)

Reorder the terms:
-8(1 + x) = x + -1(2 + 6x)
(1 * -8 + x * -8) = x + -1(2 + 6x)
(-8 + -8x) = x + -1(2 + 6x)
-8 + -8x = x + (2 * -1 + 6x * -1)
-8 + -8x = x + (-2 + -6x)

Reorder the terms:
-8 + -8x = -2 + x + -6x

Combine like terms: x + -6x = -5x
-8 + -8x = -2 + -5x

Solving
-8 + -8x = -2 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-8 + -8x + 5x = -2 + -5x + 5x

Combine like terms: -8x + 5x = -3x
-8 + -3x = -2 + -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + -3x = -2 + 0
-8 + -3x = -2

Add '8' to each side of the equation.
-8 + 8 + -3x = -2 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = -2 + 8
-3x = -2 + 8

Combine like terms: -2 + 8 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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