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

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

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

Combine like terms: 3v + 2v = 5v
(5v) + -1(v + 1) = v + (2v + 3)
(5v) + -1(v + 1) = v + (2v + 3)

Reorder the terms:
(5v) + -1(1 + v) = v + (2v + 3)
(5v) + (1 * -1 + v * -1) = v + (2v + 3)
(5v) + (-1 + -1v) = v + (2v + 3)

Reorder the terms:
-1 + (5v) + -1v = v + (2v + 3)

Combine like terms: (5v) + -1v = 4v
-1 + 4v = v + (2v + 3)

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

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

Reorder the terms:
-1 + 4v = 3 + v + 2v

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

Solving
-1 + 4v = 3 + 3v

Solving for variable 'v'.

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

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

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

Combine like terms: 3v + -3v = 0
-1 + 1v = 3 + 0
-1 + 1v = 3

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

Combine like terms: -1 + 1 = 0
0 + 1v = 3 + 1
1v = 3 + 1

Combine like terms: 3 + 1 = 4
1v = 4

Divide each side by '1'.
v = 4

Simplifying
v = 4