Solve for x Please show work Solve for cSolution1 x3x2 2x 8

Solve for x. Please show work!

Solve for c.

1) (x+3)/(x^2 +2x -8) +3/(x-2) = 15/(x+4)

x^2 + 2x -8 = x^2 +4x -2x -8 = x(x+4) -2(x+4) = (x-2)(x+4)

So,(x+3)/(x+4)(x-2) +3/(x-2) = 15/(x+4)

taking lcd = (x+4)(x-2) on LHS

{ (x+3) + 3(x+4) }/(x-2)(x+4) = 15/(x+4)

(4x +15)/(x-2)(x+4) = 15/(x+4)

canceling out common factors on both sides:

(4x +15)/(x-2) = 15

4x +15 = 15(x-2)

4x +15 = 15x -30

11x = 45

x = 45/11 (Solution)

2) 3r - 2/(c-d) =2

solve for c

3r -2 = 2/(c-d)

(c-d) = 2/(3r -2)

c = 2/(3r-2) +d