Question 1039271

Solve each rational equation:

2x-1 over x^2+2x-8   
plus 
2 over x+4 
= 1 over x-2

Thank you 
<pre>{{{(2x - 1)/(x^2 + 2x - 8) + 2/(x + 4) = 1/(x - 2)}}}
Factoring denominator {{{x^2 + 2x - 8}}}, we get: {{{(2x - 1)/(x + 4)(x - 2) + 2/(x + 4) = 1/(x - 2)}}}, with {{{matrix(1,3, x <> - 4, and, x <> 2)}}}
2x - 1 + 2(x - 2) = 1(x + 4) -------- Multiplying by LCD, (x + 4)(x - 2)
2x - 1 + 2x - 4 = x + 4
2x + 2x - 5 = x + 4
4x - 5 = x + 4
4x - x = 4 + 5
3x = 9
{{{highlight_green(matrix(1,3, x = 9/3, or, x = 3))}}}