Question

How do you solve `\frac { 6} { 5} + \frac { 2} { 5} x = \frac { 47} { 20} + \frac { 7} { 4} x + \frac { 1} { 4}`?

Answer 1

`x = -28/27`

Explanation:

One way you could start out the problem is by eliminating the denominators. You can do this by multiplying the whole equation by 20. Then we can combine like terms.

`6/5 + 2/5x=47/20 + 7/4x + 1/4 ->`

`20* (6/5 + 2/5x=47/20 + 7/4x + 1/4) ->`

`4*6 + 4*2x = 47 + 5*7x + 5*1 ->`

`24 + 8x = 47 + 35x + 5 ->`

`24 + 8x = 52 + 35x`

Now we can solve for x.

`24 + 8x = 52 + 35x ->`

`-28 = 27x ->`

`-28/27 = x`