Question

Solve. Please show your work

3m/(2m-5)-7/(3m+1)=3/2
explain it like you are teaching me please

Answer 1

`(3m)/(2m - 5) - (7)/(3m + 1) = (3)/(2)`

Multiply both sides by 2(2m - 5)(3m + 1) to clear the fractions:

6m(3m + 1) - 14(2m - 5) = 3(2m - 5)(3m + 1)

Distribute and combine like terms:

18m² + 6m - 28m + 70 = 3(6m² - 13m - 5)

18m² + 6m - 28m + 70 = 18m² - 39m - 15

-22m + 70 = -39m - 15

Add 39m to both sides, and subtract 70 from both sides:

17m = -85

Divide both sides by -17:

m = -5