-6(2v-3)+8v=6+2(4v-3)

Solution for -6(2v-3)+8v=6+2(4v-3) equation:

Simplifying
-6(2v + -3) + 8v = 6 + 2(4v + -3)

Reorder the terms:
-6(-3 + 2v) + 8v = 6 + 2(4v + -3)
(-3 * -6 + 2v * -6) + 8v = 6 + 2(4v + -3)
(18 + -12v) + 8v = 6 + 2(4v + -3)

Combine like terms: -12v + 8v = -4v
18 + -4v = 6 + 2(4v + -3)

Reorder the terms:
18 + -4v = 6 + 2(-3 + 4v)
18 + -4v = 6 + (-3 * 2 + 4v * 2)
18 + -4v = 6 + (-6 + 8v)

Combine like terms: 6 + -6 = 0
18 + -4v = 0 + 8v
18 + -4v = 8v

Solving
18 + -4v = 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.
18 + -4v + -8v = 8v + -8v

Combine like terms: -4v + -8v = -12v
18 + -12v = 8v + -8v

Combine like terms: 8v + -8v = 0
18 + -12v = 0

Add '-18' to each side of the equation.
18 + -18 + -12v = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -12v = 0 + -18
-12v = 0 + -18

Combine like terms: 0 + -18 = -18
-12v = -18

Divide each side by '-12'.
v = 1.5

Simplifying
v = 1.5