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

1 Answer
JJ
Sep 5, 2017

#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#

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