6(X+2)-4=8(X-2)+8

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Solution for 6(X+2)-4=8(X-2)+8 equation: 


Simplifying
6(X + 2) + -4 = 8(X + -2) + 8

Reorder the terms:
6(2 + X) + -4 = 8(X + -2) + 8
(2 * 6 + X * 6) + -4 = 8(X + -2) + 8
(12 + 6X) + -4 = 8(X + -2) + 8

Reorder the terms:
12 + -4 + 6X = 8(X + -2) + 8

Combine like terms: 12 + -4 = 8
8 + 6X = 8(X + -2) + 8

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

Reorder the terms:
8 + 6X = -16 + 8 + 8X

Combine like terms: -16 + 8 = -8
8 + 6X = -8 + 8X

Solving
8 + 6X = -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.
8 + 6X + -8X = -8 + 8X + -8X

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

Combine like terms: 8X + -8X = 0
8 + -2X = -8 + 0
8 + -2X = -8

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

Combine like terms: 8 + -8 = 0
0 + -2X = -8 + -8
-2X = -8 + -8

Combine like terms: -8 + -8 = -16
-2X = -16

Divide each side by '-2'.
X = 8

Simplifying
X = 8

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