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

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


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

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

Reorder the terms:
2 + -1x = -12 + 6 + -3x

Combine like terms: -12 + 6 = -6
2 + -1x = -6 + -3x

Solving
2 + -1x = -6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + -1x + 3x = -6 + -3x + 3x

Combine like terms: -1x + 3x = 2x
2 + 2x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 2x = -6 + 0
2 + 2x = -6

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

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

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

Divide each side by '2'.
x = -4

Simplifying
x = -4

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