Question 947573
Let's bring the two together with the common denominator (x-4)(x+2):

2(x-1)/(x-4)(x+2)= 8/7. Cross multiply to clear the fractions:

14(x-1)= 8(x-4)(x+2)Expand out the terms on both sides:

14x-14= 8x^2-16x-64 Subtract 8x^2-16x-64 from both sides, and you get:

-8x^2+30x+50= 0 Factor the left hand side:

-2(x-5)(4x+5)=0 Divide both sides by -2:

(x-5)(4x+5)=0 Split into 2 equations:

x-5= 0 or 4x+5=0 On the left add 5 and on the left subtract 5, both sides:

x=5 or 4x= -5 Solve for x on the right, divide both sides by 4, and

Solution: x=5 or x= -5/4 which you can also write as -1 1/4