Please solve x over 5 equals x over 3 plus 7 over 5?

Answer 1

x/5 = x/3 + 7/5

combine the terms on the right side using the common denominator 15:

x/5 = 5x/15 + 21/15

x/5 = (5x + 21)/15

multiply the top and bottom of the left fraction by 3 (this does not change the value), and then multiply both sides of the equation by 15 to cancel the denominator:

3x/15 = (5x + 21)/15

3x = 5x + 21

move all of the x's to left side:

-2x = 21

divide both sides by -2:

x = -21/2