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

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


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

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

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

Combine like terms: 12 + 2 = 14
14 + -4 + 6x = 8(x + -2) + 8

Combine like terms: 14 + -4 = 10
10 + 6x = 8(x + -2) + 8

Reorder the terms:
10 + 6x = 8(-2 + x) + 8
10 + 6x = (-2 * 8 + x * 8) + 8
10 + 6x = (-16 + 8x) + 8

Reorder the terms:
10 + 6x = -16 + 8 + 8x

Combine like terms: -16 + 8 = -8
10 + 6x = -8 + 8x

Solving
10 + 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.
10 + 6x + -8x = -8 + 8x + -8x

Combine like terms: 6x + -8x = -2x
10 + -2x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -2x = -8 + 0
10 + -2x = -8

Add '-10' to each side of the equation.
10 + -10 + -2x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -8 + -10
-2x = -8 + -10

Combine like terms: -8 + -10 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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