3x-2+6x+4=-14+4x+8-5x-12

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Solution for 3x-2+6x+4=-14+4x+8-5x-12 equation:


Simplifying
3x + -2 + 6x + 4 = -14 + 4x + 8 + -5x + -12

Reorder the terms:
-2 + 4 + 3x + 6x = -14 + 4x + 8 + -5x + -12

Combine like terms: -2 + 4 = 2
2 + 3x + 6x = -14 + 4x + 8 + -5x + -12

Combine like terms: 3x + 6x = 9x
2 + 9x = -14 + 4x + 8 + -5x + -12

Reorder the terms:
2 + 9x = -14 + 8 + -12 + 4x + -5x

Combine like terms: -14 + 8 = -6
2 + 9x = -6 + -12 + 4x + -5x

Combine like terms: -6 + -12 = -18
2 + 9x = -18 + 4x + -5x

Combine like terms: 4x + -5x = -1x
2 + 9x = -18 + -1x

Solving
2 + 9x = -18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + 9x + x = -18 + -1x + x

Combine like terms: 9x + x = 10x
2 + 10x = -18 + -1x + x

Combine like terms: -1x + x = 0
2 + 10x = -18 + 0
2 + 10x = -18

Add '-2' to each side of the equation.
2 + -2 + 10x = -18 + -2

Combine like terms: 2 + -2 = 0
0 + 10x = -18 + -2
10x = -18 + -2

Combine like terms: -18 + -2 = -20
10x = -20

Divide each side by '10'.
x = -2

Simplifying
x = -2

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