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

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


Simplifying
2(3x + 2) = x + -3(4 + -1x) + 6

Reorder the terms:
2(2 + 3x) = x + -3(4 + -1x) + 6
(2 * 2 + 3x * 2) = x + -3(4 + -1x) + 6
(4 + 6x) = x + -3(4 + -1x) + 6
4 + 6x = x + (4 * -3 + -1x * -3) + 6
4 + 6x = x + (-12 + 3x) + 6

Reorder the terms:
4 + 6x = -12 + 6 + x + 3x

Combine like terms: -12 + 6 = -6
4 + 6x = -6 + x + 3x

Combine like terms: x + 3x = 4x
4 + 6x = -6 + 4x

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

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

Combine like terms: 4x + -4x = 0
4 + 2x = -6 + 0
4 + 2x = -6

Add '-4' to each side of the equation.
4 + -4 + 2x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = -6 + -4
2x = -6 + -4

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

Divide each side by '2'.
x = -5

Simplifying
x = -5

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