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

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

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

Reorder the terms:
4(-5 + v) + -2(v + 1) = 3(1 + -1v)
(-5 * 4 + v * 4) + -2(v + 1) = 3(1 + -1v)
(-20 + 4v) + -2(v + 1) = 3(1 + -1v)

Reorder the terms:
-20 + 4v + -2(1 + v) = 3(1 + -1v)
-20 + 4v + (1 * -2 + v * -2) = 3(1 + -1v)
-20 + 4v + (-2 + -2v) = 3(1 + -1v)

Reorder the terms:
-20 + -2 + 4v + -2v = 3(1 + -1v)

Combine like terms: -20 + -2 = -22
-22 + 4v + -2v = 3(1 + -1v)

Combine like terms: 4v + -2v = 2v
-22 + 2v = 3(1 + -1v)
-22 + 2v = (1 * 3 + -1v * 3)
-22 + 2v = (3 + -3v)

Solving
-22 + 2v = 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.
-22 + 2v + 3v = 3 + -3v + 3v

Combine like terms: 2v + 3v = 5v
-22 + 5v = 3 + -3v + 3v

Combine like terms: -3v + 3v = 0
-22 + 5v = 3 + 0
-22 + 5v = 3

Add '22' to each side of the equation.
-22 + 22 + 5v = 3 + 22

Combine like terms: -22 + 22 = 0
0 + 5v = 3 + 22
5v = 3 + 22

Combine like terms: 3 + 22 = 25
5v = 25

Divide each side by '5'.
v = 5

Simplifying
v = 5