Question

Find x
3(x-4)=5(x+1)
Give answer in improper fraction in simplest form

Answer 1

`( - 17)/(2)`

Explanation:

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

first expand the brackets

`3x - 12 = 5x + 5`

Subtract 5x from both sides

`3 - 12 - 5x = 5x + 5 - 5x`

`3x - 12 - 5x = 5`

Add 12 to both sides

`3x - 12 - 5x + 12 = 5 + 12`

`3x - 5x = 5 + 12`

Combine the like-terms

`3x - 5x = - 2x`

`5 + 12 = 17`

`- 2x = 17`

Divide both sides by -2

`( - 2x)/(2) = (17)/( - 2)`

`x = (17)/( - 2)`

`x = ( - 17)/(2)`