Hi Jennifer,
I would first eliminate the fractions. In your first problem I would do this by multiplying both sides by 4.
^{5(x3)}/_{4} = x+1
4 ^{5(x3)}/_{4} = 4 (x + 1)
5(x  3) = 4 (x + 1)
Now expand both sides
5(x  3) = 4 (x + 1)
5x  3
5 = 4x + 4 1
5x  15 = 4x + 4
Transfer all the xterms to the left side by subtracting 4x from both sides.
5x  15 = 4x + 4
5x  15  4x= 4x + 4  4x
x  15 = 4
Finally add 15 to both sides
x  15 = 4
x  15 + 15 = 4 + 15
x = 19
You can check the answer by substituting x = 19 into the first equation and verifying that the two sides are equal.
Now you try the second problem and verify your answer.
Penny
