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

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

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

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

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

Reorder the terms:
6 + 5x = 2 + -2x

Solving
6 + 5x = 2 + -2x

Solving for variable 'x'.

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

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

Combine like terms: 5x + 2x = 7x
6 + 7x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 7x = 2 + 0
6 + 7x = 2

Add '-6' to each side of the equation.
6 + -6 + 7x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 2 + -6
7x = 2 + -6

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

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714