Question

Solve for x.
13
=(5x+ 6)/8 +
(5x+4)/4

Answer 1

Answer: x=6

Explanation:

To solve for x, we want to isolate the variable.

`(5x+6)/(8) +(5x+4)/(4) =13` [get common denominator]

`(5x+6)/(8) +(2(5x+4))/(8) =13` [add fractions]

`(5x+6+10x+8)/(y) =13` [combine like terms]

`(15x+14)/(8) =13` [multiply both sides by 8]

`15x+14=104` [subtract both sides by 14]

`15x=90\\` [divide both sides by 15]

`x=6`

Now, we know that x=6.