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

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


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

Reorder the terms:
4(6 + x) + 8 = 6(x + 2) + -8
(6 * 4 + x * 4) + 8 = 6(x + 2) + -8
(24 + 4x) + 8 = 6(x + 2) + -8

Reorder the terms:
24 + 8 + 4x = 6(x + 2) + -8

Combine like terms: 24 + 8 = 32
32 + 4x = 6(x + 2) + -8

Reorder the terms:
32 + 4x = 6(2 + x) + -8
32 + 4x = (2 * 6 + x * 6) + -8
32 + 4x = (12 + 6x) + -8

Reorder the terms:
32 + 4x = 12 + -8 + 6x

Combine like terms: 12 + -8 = 4
32 + 4x = 4 + 6x

Solving
32 + 4x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
32 + 4x + -6x = 4 + 6x + -6x

Combine like terms: 4x + -6x = -2x
32 + -2x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
32 + -2x = 4 + 0
32 + -2x = 4

Add '-32' to each side of the equation.
32 + -32 + -2x = 4 + -32

Combine like terms: 32 + -32 = 0
0 + -2x = 4 + -32
-2x = 4 + -32

Combine like terms: 4 + -32 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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