Question

Solve the equation. Simplify your answer if possible.
((x+2)/5)+((x+1)/3)=((x-3)/10)-2​

Answer 1

The solved given equation

`((x+2)/(5))+((x+1)/(3))=((x-3)/(10))-2` is x=-7

Explanation:

Given equation is
`((x+2)/(5))+((x+1)/(3))=((x-3)/(10))-2`

To solve the given equation as below :

`((x+2)/(5))+((x+1)/(3))=((x-3)/(10))-2` ( by using the distributive property )

`(3x+6+5x+5)/(15)=(x-3-20)/(10)` ( adding the like terms )

`(8x+11)/(15)=(x-23)/(10)`

Multiply into (10(15) on both sides we get

`(8x+11)/(15)* (10)(15)=(x-23)/(10)* (10)(15)`

`(8x+11)* (10)=(x-23)* (15)` ( by using the distributive property )

`80x+110-15x+345=0` ( adding the like terms )

`65x+455=0`

`65x=-455`

`x=-(455)/(65)`

Therefore x=-7

Therefore the solved given equation is x=-7