Question

[(x)/(x+2)]-[(2)/(2x-1)]=(1/5)
how do you solve to get x=-3/4 as your answer??

Answer 1

smurfy14 i used this equation
(2 x^2-3 x-4)/((x+2) (2 x-1)) = 1/5

Answer 2

Multiply both sides by (x+2)(2x-1) to eliminate the denominator and you get:

x(2x-1)-2(x+2)=1/5(x+2)(2x-1) Multiply both sides by 5 to eliminate 5 and you get:

5x(2x-1)-10(x+2)=(x+2)(2x-1)
10x^2-5x-10x-20=2x^2+3x-2
10x^2-15x-20=2x^2+3x-2 Now combine the like terms:

8x^2-18x-18=0
2(4x^2-9x-9)=0 Divide both sides by 2 to eliminate the 2 and you get:

4x^2-9x-9=0
(4x+3)(x-3)=0

4x+3=0
4x=-3
x=-3/4

x-3=0
x=3

Therefore, x=-3/4 and x=3

Answer 3

you're the best thanks so much!!

Answer 4

You're welcome