Question

Solve for x:

(3a−b)/(x−b)=1/(x+1) ,if a≠( b+1)/3

Answer 1

Explanation:

`((3a-b))/((x-b))=(1)/((x+1))\\\\(3a-b)*(x+1)=1*(x-b)\\\\`

Use FOIL method

3a*x + 3a*1 - b*x -b*1 = x - b

3ax + 3a -bx - b = x -b

3ax - bx -x + 3a - b = -b

x*( 3a - b - 1) + 3a - b = -b

x*( 3a - b - 1) = - b - 3a + b

x*( 3a - b - 1) = -3a

`x=(-3a)/(( 3a - b - 1))`