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

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


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

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

Combine like terms: 4x + -2x = 2x
24 + 2x = 12 + -4x

Solving
24 + 2x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
24 + 2x + 4x = 12 + -4x + 4x

Combine like terms: 2x + 4x = 6x
24 + 6x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
24 + 6x = 12 + 0
24 + 6x = 12

Add '-24' to each side of the equation.
24 + -24 + 6x = 12 + -24

Combine like terms: 24 + -24 = 0
0 + 6x = 12 + -24
6x = 12 + -24

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

Divide each side by '6'.
x = -2

Simplifying
x = -2

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