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

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


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

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

Reorder the terms:
2 + 2x = 8(-2 + x) + -6
2 + 2x = (-2 * 8 + x * 8) + -6
2 + 2x = (-16 + 8x) + -6

Reorder the terms:
2 + 2x = -16 + -6 + 8x

Combine like terms: -16 + -6 = -22
2 + 2x = -22 + 8x

Solving
2 + 2x = -22 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + 2x + -8x = -22 + 8x + -8x

Combine like terms: 2x + -8x = -6x
2 + -6x = -22 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -6x = -22 + 0
2 + -6x = -22

Add '-2' to each side of the equation.
2 + -2 + -6x = -22 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -22 + -2
-6x = -22 + -2

Combine like terms: -22 + -2 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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