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

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

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

Reorder the terms:
2v + -1 + 2(5 + 2v) = -3(v + -1)
2v + -1 + (5 * 2 + 2v * 2) = -3(v + -1)
2v + -1 + (10 + 4v) = -3(v + -1)

Reorder the terms:
-1 + 10 + 2v + 4v = -3(v + -1)

Combine like terms: -1 + 10 = 9
9 + 2v + 4v = -3(v + -1)

Combine like terms: 2v + 4v = 6v
9 + 6v = -3(v + -1)

Reorder the terms:
9 + 6v = -3(-1 + v)
9 + 6v = (-1 * -3 + v * -3)
9 + 6v = (3 + -3v)

Solving
9 + 6v = 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.
9 + 6v + 3v = 3 + -3v + 3v

Combine like terms: 6v + 3v = 9v
9 + 9v = 3 + -3v + 3v

Combine like terms: -3v + 3v = 0
9 + 9v = 3 + 0
9 + 9v = 3

Add '-9' to each side of the equation.
9 + -9 + 9v = 3 + -9

Combine like terms: 9 + -9 = 0
0 + 9v = 3 + -9
9v = 3 + -9

Combine like terms: 3 + -9 = -6
9v = -6

Divide each side by '9'.
v = -0.6666666667

Simplifying
v = -0.6666666667