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

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


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

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

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

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

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

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

Solving
12 + -2x = 8

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -2x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 8 + -12
-2x = 8 + -12

Combine like terms: 8 + -12 = -4
-2x = -4

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

Simplifying
x = 2

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