Question

Solve the following equation for q. 5q - 4p + 6 = 4q – 8.

Answer 1

`q=4p-14`

Explanation:

The first step in solving

`5q-4p+6=4q-8`

is to bring
`4q` on the right the left side to the right side by subtracting it from both sides:

`(5q-4p+6)-4q=(4q-8)-4q\\\\(5q-4q)-4p+6=-8\\q-4p+6=-8`

and we subtract 6 from both sides and get:

`q-4p=-14`

finally we add
`4p` to both sides and get:

`q-4p+4p=-14+4p`

`\boxed{q=4p-14}`