How do you solve 19- 3v = - 9v + 5v - 1?

1 Answer
Jul 16, 2017

See a solution process below:

Explanation:

First, combine the like terms on the right side of the equation:

19 - 3v = (-9 + 5)v - 1

19 - 3v = -4v - 1

Now, subtract color(red)(19) and add color(blue)(4v) to each side of the equation to solve for v while keeping the equation balanced:

19 - 3v - color(red)(19) + color(blue)(4v) = -4v - 1 - color(red)(19) + color(blue)(4v)

19 - color(red)(19) - 3v + color(blue)(4v) = -4v + color(blue)(4v) - 1 - color(red)(19)

0 + (-3 + color(blue)(4))v = 0 - 20

1v = -20

v = -20