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

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


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

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

Reorder the terms:
-24 + 4x = 6 + 6(2 + x) + -8
-24 + 4x = 6 + (2 * 6 + x * 6) + -8
-24 + 4x = 6 + (12 + 6x) + -8

Reorder the terms:
-24 + 4x = 6 + 12 + -8 + 6x

Combine like terms: 6 + 12 = 18
-24 + 4x = 18 + -8 + 6x

Combine like terms: 18 + -8 = 10
-24 + 4x = 10 + 6x

Solving
-24 + 4x = 10 + 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.
-24 + 4x + -6x = 10 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-24 + -2x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + -2x = 10 + 0
-24 + -2x = 10

Add '24' to each side of the equation.
-24 + 24 + -2x = 10 + 24

Combine like terms: -24 + 24 = 0
0 + -2x = 10 + 24
-2x = 10 + 24

Combine like terms: 10 + 24 = 34
-2x = 34

Divide each side by '-2'.
x = -17

Simplifying
x = -17

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