2(x+1)=8(x-2)+24

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Solution for 2(x+1)=8(x-2)+24 equation: 


Simplifying
2(x + 1) = 8(x + -2) + 24

Reorder the terms:
2(1 + x) = 8(x + -2) + 24
(1 * 2 + x * 2) = 8(x + -2) + 24
(2 + 2x) = 8(x + -2) + 24

Reorder the terms:
2 + 2x = 8(-2 + x) + 24
2 + 2x = (-2 * 8 + x * 8) + 24
2 + 2x = (-16 + 8x) + 24

Reorder the terms:
2 + 2x = -16 + 24 + 8x

Combine like terms: -16 + 24 = 8
2 + 2x = 8 + 8x

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -6x = 8 + -2

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

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

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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