3x-2+x=4x-6+8x+4

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


Simplifying
3x + -2 + x = 4x + -6 + 8x + 4

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

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

Reorder the terms:
-2 + 4x = -6 + 4 + 4x + 8x

Combine like terms: -6 + 4 = -2
-2 + 4x = -2 + 4x + 8x

Combine like terms: 4x + 8x = 12x
-2 + 4x = -2 + 12x

Add '2' to each side of the equation.
-2 + 2 + 4x = -2 + 2 + 12x

Combine like terms: -2 + 2 = 0
0 + 4x = -2 + 2 + 12x
4x = -2 + 2 + 12x

Combine like terms: -2 + 2 = 0
4x = 0 + 12x
4x = 12x

Solving
4x = 12x

Solving for variable 'x'.

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

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

Combine like terms: 4x + -12x = -8x
-8x = 12x + -12x

Combine like terms: 12x + -12x = 0
-8x = 0

Divide each side by '-8'.
x = 0

Simplifying
x = 0

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