Question

Solve: 5/3x+1/3x=21 2/3+7/3

Answer 1

X = 12 is going to be your correct answer for this question.

Answer 2

Answer: x = 12

Explanation:

1) Convert mixed numbers into improper fractions:
`21(2)/(3) =(21*3+2)/(3) =(65)/(3)`

New equation written as:
`(5)/(3)x+(1)/(3)x=(65)/(3)+(7)/(3)`

2)
`(5)/(3)x+(1)/(3)x=(65+7)/(3)`

3) Add the numbers 65 + 7 = 72:
`(5)/(3)x+(1)/(3)x=(72)/(3)`

4) Divide 72/3 = 24:
`(5)/(3)x+(1)/(3)x=24`

5) Multiply both sides by 3. Note: * = multiply:
`(5)/(3)x*3+(1)/(3)x*3=24*3`

6) Simplify: 6x = 72

7) Divide both sides by 6:
`(6x)/(6)=(72)/(6)`

x = 12