2(2v-3)+6v=6(v+1)+2v

Solution for 2(2v-3)+6v=6(v+1)+2v equation:

Simplifying
2(2v + -3) + 6v = 6(v + 1) + 2v

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

Combine like terms: 4v + 6v = 10v
-6 + 10v = 6(v + 1) + 2v

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

Combine like terms: 6v + 2v = 8v
-6 + 10v = 6 + 8v

Solving
-6 + 10v = 6 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
-6 + 10v + -8v = 6 + 8v + -8v

Combine like terms: 10v + -8v = 2v
-6 + 2v = 6 + 8v + -8v

Combine like terms: 8v + -8v = 0
-6 + 2v = 6 + 0
-6 + 2v = 6

Add '6' to each side of the equation.
-6 + 6 + 2v = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 2v = 6 + 6
2v = 6 + 6

Combine like terms: 6 + 6 = 12
2v = 12

Divide each side by '2'.
v = 6

Simplifying
v = 6