Question

3/4(-4.2 - x) = 5 enter answer as mixed number

Answer 1

x = -10 13/15

Explanation:

3/4(-4.2 - x) = 5

4/3 * (3/4(-4.2 - x) = 5) ==> multiply by the reciprocal of a number to get 1

1(-4.2 - x) = 5 * 4/3

-4.2 - x = 20/3

-4 2/10 - x = 20/3

-(4 + 2/10) - x = 20/3

-(40/10 + 2/10) - x = 20/3

-42/10 - x = 20/3

42/10 - 42/10 - x = 42/10 + 20/3

-x = 42/10 + 20/3

30 * (-x = 42/10 + 20/3) ==> LCM(Least common multiple) of 10 and 3 is 30.

-30x = 30 * 42/10 + 30 * 20/3

-30x = 30/10 * 42 + 30/3 * 20

-30x = 3 * 42 + 10 * 20

-30x = 126 + 200

-30x = 326

30x = -326

x = -326/30

x = -(300 + 26)/30

x = -300/30 - 26/30

x = -10 - 26/30

x = -(10 + 26/30)

x = -10 26/30

x = -10 13/15