Question

Equations with fractions

Can someone please show me step by step how to answer this, thank you.

Answer 1

x=7

Explanation:

The equation can be represented as following:

`((x)/(14) +3(1)/(2))=2((x)/(21) +1(2)/(3))`. If we open the parenthesis, we can get as following:

`(1)/(14)x +3(1)/(2)=(2)/(21)x +3(1)/(3) \\`, which then subtract
`2(2)/(21) x` from both sides to get the following:

`(7)/(2)-(1)/(42) x=(10)/(3)`;

subtract
`(7)/(2)` from both sides to get
`(-1)/(42) x=(-1)/(6)`, and multiply both sides by -42 to get our final answer of x=7