Question

1/3t+4/5=3/5-t how would i solve this equation step by step?​

Answer 1

`t = (3)/(20)`

Step-by-step explaination:

`(1)/(3) t + (4)/(5) = (3)/(5) - t`

1. Substract 1/5 from both sides

`(1)/(3) t + (4)/(5) - (4)/(5) = (3)/(5) - t - (4)/(5)`

2. Simplify

`(1)/(3) t = - t - (1)/(5)`

3. Add t to both sides

`(1)/(3) t + t = - t - (1)/(5) + t`

4. Simplify

`4t = - (3)/(5)`

5. Divide both sides by 4

`(4t)/(4) = ( - (3)/(5) )/(4)`

6. Simplify

`t = - (3)/(2 0)`

Solution :

=
`t = - (3)/(20)`