By what number would you multiply each side of the equation by. 3/10x -2/5=1/2x -6

Answer 1

least common denominator of 10, 5, and 2 is 10.

10 ( (3/10)x - (2/5)) = 10 ( (1/2)x - 6 )

3x - 4 = 5x - 60

-4 = 2x - 60

-4 + 60 = 2x

56 = 2x

x=28

check:

left side: (3/10)(28) - 2/5 = 3* 28/10 - 2/5 = 3 * 14/5 - 2/5 = 42/5 - 2/5 = 40/5 = 8

right side: (1/2)(28) - 6 = 14 - 6 = 8