First thing: if possible, factorize the denominators. In this case, not possible.
Then do LCM between denominators. 7(4x+17)
[tex] \frac{2(4x+17)}{7(4x+17)} = \frac{42x}{7(4x+17)} [/tex]
Find the range
4x+17 ≠ 0
4x ≠ -17
x ≠ -17/4
Multiply both fractions for 7(4x+17) to delete denominators
2(4x+17) = 42x
8x + 34 = 42x
8x-42x = -34
-34x = -34
The x can't be negative so change sign to both terms
34x = 34
34x/34 = 34/34
Answer: x = 1
