2(5v+3)=4(v-1)

Solution for 2(5v+3)=4(v-1) equation:

Simplifying
2(5v + 3) = 4(v + -1)

Reorder the terms:
2(3 + 5v) = 4(v + -1)
(3 * 2 + 5v * 2) = 4(v + -1)
(6 + 10v) = 4(v + -1)

Reorder the terms:
6 + 10v = 4(-1 + v)
6 + 10v = (-1 * 4 + v * 4)
6 + 10v = (-4 + 4v)

Solving
6 + 10v = -4 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
6 + 10v + -4v = -4 + 4v + -4v

Combine like terms: 10v + -4v = 6v
6 + 6v = -4 + 4v + -4v

Combine like terms: 4v + -4v = 0
6 + 6v = -4 + 0
6 + 6v = -4

Add '-6' to each side of the equation.
6 + -6 + 6v = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 6v = -4 + -6
6v = -4 + -6

Combine like terms: -4 + -6 = -10
6v = -10

Divide each side by '6'.
v = -1.666666667

Simplifying
v = -1.666666667