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

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

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

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

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

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

Combine like terms: 4 + 2 = 6
6 + 2x + 3x + 2x = 1

Combine like terms: 2x + 3x = 5x
6 + 5x + 2x = 1

Combine like terms: 5x + 2x = 7x
6 + 7x = 1

Solving
6 + 7x = 1

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 7x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 1 + -6
7x = 1 + -6

Combine like terms: 1 + -6 = -5
7x = -5

Divide each side by '7'.
x = -0.7142857143

Simplifying
x = -0.7142857143