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

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


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

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

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

Combine like terms: -6 + 4 = -2
-2 + -2x + 4x = 3(-1x + 4) + 2 + 6x

Combine like terms: -2x + 4x = 2x
-2 + 2x = 3(-1x + 4) + 2 + 6x

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

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

Combine like terms: 12 + 2 = 14
-2 + 2x = 14 + -3x + 6x

Combine like terms: -3x + 6x = 3x
-2 + 2x = 14 + 3x

Solving
-2 + 2x = 14 + 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 + 2x + -3x = 14 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-2 + -1x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -1x = 14 + 0
-2 + -1x = 14

Add '2' to each side of the equation.
-2 + 2 + -1x = 14 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 14 + 2
-1x = 14 + 2

Combine like terms: 14 + 2 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

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