(x+1)/(x+4)=(2x-1)/(x+6)Solve for x

(x+1)/(x+4)=(2x-1)/(x+6)

cross multiply the numbers

(x+1)(x+6) = (x+4)(2x-1)

unfoil the problem by multiplying every number from the first parenthesis by the numbers inside the second parenthesis

you should end up with 

`x^2 +7x + 6 = 2x^2 + 7x - 4  `

Add the opposite of each number to combine like terms

x^2 +7x + 6 = 2x^2 + 7x - 4

               +4                     +4            

x^2 +7x + 10 = 2x^2 + 7x 

       -7x                       -7x

x^2 + 10 = 2x^2

-x^2           -x^2

`10=x^2 `

find the square root 

`sqrt(10) =sqrt(x^2)`

`x= +-sqrt(10)`