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

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

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

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

Reorder the terms:
-3 + 6v = 4 + -1v

Solving
-3 + 6v = 4 + -1v

Solving for variable 'v'.

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

Add 'v' to each side of the equation.
-3 + 6v + v = 4 + -1v + v

Combine like terms: 6v + v = 7v
-3 + 7v = 4 + -1v + v

Combine like terms: -1v + v = 0
-3 + 7v = 4 + 0
-3 + 7v = 4

Add '3' to each side of the equation.
-3 + 3 + 7v = 4 + 3

Combine like terms: -3 + 3 = 0
0 + 7v = 4 + 3
7v = 4 + 3

Combine like terms: 4 + 3 = 7
7v = 7

Divide each side by '7'.
v = 1

Simplifying
v = 1