3x+2=x-6

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


Simplifying
3x + 2 = x + -6

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

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

Solving
2 + 3x = -6 + x

Solving for variable 'x'.

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

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

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

Combine like terms: x + -1x = 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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