Question

x-2 OVER x-1= x+2 OVER x+4

Answer 1

(x - 2)/(x - 1) = (x+2)/(x+4)
x^2 + 2x - 8 = x^2 + x -2
2x -8 = x - 2
x = 6 ----.>

Test x =6 in each denominator of the original equation to ensure that 6 does not create a zero and cause the expression to become undefined.

Will x = 6 cause (x-1) = 0? No

Will x = 6 cause (x+4) = 0? No.

Therefore, the answer is x = 6.