Question

Solve for "
`x`"

1.x/4+(x-5)/2=3

Answer 1

Answer and Step-by-step explanation:

The answer for this linear equation is :
`x=(22)/(3)`

Let's Solve your equation step-by-step :

`x=(22)/(3)`

Step 1 : Simplify both the sides of the equation :

`(x)/(4)+(x-5)/(2)=3`

`(x)/(4)+(1)/(2)x+(-5)/(2)=3` (By Distributing)

`(1)/(4)x+(1)/(2)x+(-5)/(2)=3`

`((1)/(4)x+(1)/(2)x )+((-5)/(2))=3` (combining the like terms)

`(3)/(4)x+(-5)/(2)=3`

Step 2 : Add
`(5)/(2)`to both sides :

`(3)/(4)x +(-5)/(2)+\frac{5}2} =3+(5)/(2)`

`(3)/(4)x=(11)/(2)`

Step 3 : Now, multiply both the sides by
`(4)/(3)` :

`((4)/(3))` ×
`((3)/(4)x)` =
`((4)/(3))` ×
`((11)/(2))`

`x=(22)/(3)`

We've got our answer as :
`x=(22)/(3)`