2(x+2)+x=2(x+1)+1

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

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

Reorder the terms:
2(2 + x) + x = 2(x + 1) + 1
(2 * 2 + x * 2) + x = 2(x + 1) + 1
(4 + 2x) + x = 2(x + 1) + 1

Combine like terms: 2x + x = 3x
4 + 3x = 2(x + 1) + 1

Reorder the terms:
4 + 3x = 2(1 + x) + 1
4 + 3x = (1 * 2 + x * 2) + 1
4 + 3x = (2 + 2x) + 1

Reorder the terms:
4 + 3x = 2 + 1 + 2x

Combine like terms: 2 + 1 = 3
4 + 3x = 3 + 2x

Solving
4 + 3x = 3 + 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.
4 + 3x + -2x = 3 + 2x + -2x

Combine like terms: 3x + -2x = 1x
4 + 1x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 1x = 3 + 0
4 + 1x = 3

Add '-4' to each side of the equation.
4 + -4 + 1x = 3 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 3 + -4
1x = 3 + -4

Combine like terms: 3 + -4 = -1
1x = -1

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

Simplifying
x = -1