How do you solve #3/5 - 7/2x = 3/10#?

1 Answer

Answer:

#x = 3/35#

Explanation:

Given:

#3/5 - 7x/2 = 3/10#

Make the denominators equal:

#(3*2)/(5*2) - (7x*5)/(2*5) = 3/10#

Simplify:

#6/10 - (35x)/10 = 3/10#

Make #x# positive:

#(35x)/10 = 6/10 - 3/10#

#(35x)/10 = 3/10#

Simplify both sides:

#(35x)/10 * 10 = 3/10 *10#

Continue:

#35x = 3#

Solve for x:

#(35x)/35 = 3/35#

Isolate the value:

#x = 3/35#