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

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


Simplifying
12 + 3(8 + -2x) = 4(3 + -1x) + -6x
12 + (8 * 3 + -2x * 3) = 4(3 + -1x) + -6x
12 + (24 + -6x) = 4(3 + -1x) + -6x

Combine like terms: 12 + 24 = 36
36 + -6x = 4(3 + -1x) + -6x
36 + -6x = (3 * 4 + -1x * 4) + -6x
36 + -6x = (12 + -4x) + -6x

Combine like terms: -4x + -6x = -10x
36 + -6x = 12 + -10x

Solving
36 + -6x = 12 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
36 + -6x + 10x = 12 + -10x + 10x

Combine like terms: -6x + 10x = 4x
36 + 4x = 12 + -10x + 10x

Combine like terms: -10x + 10x = 0
36 + 4x = 12 + 0
36 + 4x = 12

Add '-36' to each side of the equation.
36 + -36 + 4x = 12 + -36

Combine like terms: 36 + -36 = 0
0 + 4x = 12 + -36
4x = 12 + -36

Combine like terms: 12 + -36 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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