2x+6+4x=x-2

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

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

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

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

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

Solving
6 + 6x = -2 + 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.
6 + 6x + -1x = -2 + x + -1x

Combine like terms: 6x + -1x = 5x
6 + 5x = -2 + x + -1x

Combine like terms: x + -1x = 0
6 + 5x = -2 + 0
6 + 5x = -2

Add '-6' to each side of the equation.
6 + -6 + 5x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = -2 + -6
5x = -2 + -6

Combine like terms: -2 + -6 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6