-2x+6=x+3

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

Simplifying
-2x + 6 = x + 3

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

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

Solving
6 + -2x = 3 + 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 + -2x + -1x = 3 + x + -1x

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

Combine like terms: x + -1x = 0
6 + -3x = 3 + 0
6 + -3x = 3

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

Combine like terms: 6 + -6 = 0
0 + -3x = 3 + -6
-3x = 3 + -6

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

Divide each side by '-3'.
x = 1

Simplifying
x = 1