Step 1: Simplify both sides of the equation.
x
+
15
(
x
−
1
)
=
1
x
+
(
15
)
(
x
)
+
(
15
)
(
−
1
)
=
1
(Distribute)
x
+
15
x
+
−
15
=
1
(
x
+
15
x
)
+
(
−
15
)
=
1
(Combine Like Terms)
16
x
+
−
15
=
1
16
x
−
15
=
1
Step 2: Add 15 to both sides.
16
x
−
15
+
15
=
1
+
15
16
x
=
16
Step 3: Divide both sides by 16.
16
x
16
=
16
16
x
=
1