2(x+3)-x=2x+1

Solution for 2(x+3)-x=2x+1 equation:

Simplifying
2(x + 3) + -1x = 2x + 1

Reorder the terms:
2(3 + x) + -1x = 2x + 1
(3 * 2 + x * 2) + -1x = 2x + 1
(6 + 2x) + -1x = 2x + 1

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

Reorder the terms:
6 + 1x = 1 + 2x

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

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

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

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

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5