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

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

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

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

Remove parenthesis around (1 + x)
x + 1 + x + (x + 2) = 2(x + 2) + 1

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

Remove parenthesis around (2 + x)
x + 1 + x + 2 + x = 2(x + 2) + 1

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

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

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

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

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

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

Combine like terms: 4 + 1 = 5
3 + 3x = 5 + 2x

Solving
3 + 3x = 5 + 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.
3 + 3x + -2x = 5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
3 + 1x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 1x = 5 + 0
3 + 1x = 5

Add '-3' to each side of the equation.
3 + -3 + 1x = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 5 + -3
1x = 5 + -3

Combine like terms: 5 + -3 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2