Find common denominator
x
5
+
1
=
1
15
5
+
1
=
1
1
5
x
5
+
5
5
=
1
15
5
+
5
5
=
1
1
5
2
Combine fractions with common denominator
x
5
+
5
5
=
1
15
5
+
5
5
=
1
1
5
x
+
5
5
=
1
15
+
5
5
=
1
1
5
3
Multiply all terms by the same value to eliminate fraction denominators
x
+
5
5
=
1
15
+
5
5
=
1
1
5
15
⋅
x
+
5
5
=
15
⋅
1
15
1
5
⋅
+
5
5
=
1
5
⋅
1
1
5
4
Cancel multiplied terms that are in the denominator
15
⋅
x
+
5
5
=
15
⋅
1
15
1
5
⋅
+
5
5
=
1
5
⋅
1
1
5
3
(
x
+
5
)
=
1
3
(
+
5
)
=
1
5
Distribute
3
(
x
+
5
)
=
1
3
(
+
5
)
=
1
3
x
+
15
=
1
3
+
1
5
=
1
6
Subtract
15
1
5
from both sides
3
x
+
15
=
1
3
+
1
5
=
1
3
x
+
15
−
15
=
1
−
15
3
+
1
5
−
1
5
=
1
−
1
5
7
Simplify
Subtract the numbers
Subtract the numbers
3
x
=
−
14
3
=
−
1
4
8
Divide both sides by the same factor
3
x
=
−
14
3
=
−
1
4
3
x
3
=
−
14
3
3
3
=
−
1
4
3
9
Simplify
Cancel terms that are in both the numerator and denominator
x
=
−
14
3
=
−
1
4
3
Answer: x = -14/3