2(v+1)+5v=3(v+1)-2

Solution for 2(v+1)+5v=3(v+1)-2 equation:

Simplifying
2(v + 1) + 5v = 3(v + 1) + -2

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

Combine like terms: 2v + 5v = 7v
2 + 7v = 3(v + 1) + -2

Reorder the terms:
2 + 7v = 3(1 + v) + -2
2 + 7v = (1 * 3 + v * 3) + -2
2 + 7v = (3 + 3v) + -2

Reorder the terms:
2 + 7v = 3 + -2 + 3v

Combine like terms: 3 + -2 = 1
2 + 7v = 1 + 3v

Solving
2 + 7v = 1 + 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.
2 + 7v + -3v = 1 + 3v + -3v

Combine like terms: 7v + -3v = 4v
2 + 4v = 1 + 3v + -3v

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

Add '-2' to each side of the equation.
2 + -2 + 4v = 1 + -2

Combine like terms: 2 + -2 = 0
0 + 4v = 1 + -2
4v = 1 + -2

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

Divide each side by '4'.
v = -0.25

Simplifying
v = -0.25