3x+6-7x=12-8x+2

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Solution for 3x+6-7x=12-8x+2 equation:


Simplifying
3x + 6 + -7x = 12 + -8x + 2

Reorder the terms:
6 + 3x + -7x = 12 + -8x + 2

Combine like terms: 3x + -7x = -4x
6 + -4x = 12 + -8x + 2

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

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

Solving
6 + -4x = 14 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
6 + -4x + 8x = 14 + -8x + 8x

Combine like terms: -4x + 8x = 4x
6 + 4x = 14 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 4x = 14 + 0
6 + 4x = 14

Add '-6' to each side of the equation.
6 + -6 + 4x = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 14 + -6
4x = 14 + -6

Combine like terms: 14 + -6 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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