4(x+6)-2(3x+8)=12

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Solution for 4(x+6)-2(3x+8)=12 equation: 


Simplifying
4(x + 6) + -2(3x + 8) = 12

Reorder the terms:
4(6 + x) + -2(3x + 8) = 12
(6 * 4 + x * 4) + -2(3x + 8) = 12
(24 + 4x) + -2(3x + 8) = 12

Reorder the terms:
24 + 4x + -2(8 + 3x) = 12
24 + 4x + (8 * -2 + 3x * -2) = 12
24 + 4x + (-16 + -6x) = 12

Reorder the terms:
24 + -16 + 4x + -6x = 12

Combine like terms: 24 + -16 = 8
8 + 4x + -6x = 12

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

Solving
8 + -2x = 12

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = -2

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