(3x+2)-(-x-1)=(2x+4)+(x+3)

Solution for (3x+2)-(-x-1)=(2x+4)+(x+3) equation:

Simplifying
(3x + 2) + -1(-1x + -1) = (2x + 4) + (x + 3)

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

Remove parenthesis around (2 + 3x)
2 + 3x + -1(-1x + -1) = (2x + 4) + (x + 3)

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

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

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

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

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

Remove parenthesis around (4 + 2x)
3 + 4x = 4 + 2x + (x + 3)

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

Remove parenthesis around (3 + x)
3 + 4x = 4 + 2x + 3 + x

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

Combine like terms: 4 + 3 = 7
3 + 4x = 7 + 2x + x

Combine like terms: 2x + x = 3x
3 + 4x = 7 + 3x

Solving
3 + 4x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + 4x + -3x = 7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
3 + 1x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + 1x = 7 + 0
3 + 1x = 7

Add '-3' to each side of the equation.
3 + -3 + 1x = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 7 + -3
1x = 7 + -3

Combine like terms: 7 + -3 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4