Question

How do you solve `6k + 8- 6k = - 8+ 7k - 5k`?

Answer 1

See a solution process below:

Explanation:

First, one each side of the equation, group and then combine like terms:

`6k + 8 - 6k = -8 + 7k - 5k`

`6k - 6k + 8 = -8 + (7 - 5)k`

`0 + 8 = -8 + 2k`

`8 = -8 + 2k`

Next, add `color(red)(8)` to each side of the equation to isolate the `k` term while keeping the equation balanced:

`color(red)(8) + 8 = color(red)(8) - 8 + 2k`

`16 = 0 + 2k`

`16 = 2k`

Now divide each side of the equation by `color(red)(2)` to solve for `k` while keeping the equation balanced:

`16/color(red)(2) = (2k)/color(red)(2)`

`8 = (color(red)(cancel(color(black)(2)))k)/cancel(color(red)(2))`

`8 = k`

`k = 8`