Step 1: Simplify both sides of the equation.
3
x
−
1
=
1
−
3
x
3
x
+
−
1
=
1
+
−
3
x
3
x
−
1
=
−
3
x
+
1
Step 2: Add 3x to both sides.
3
x
−
1
+
3
x
=
−
3
x
+
1
+
3
x
6
x
−
1
=
1
Step 3: Add 1 to both sides.
6
x
−
1
+
1
=
1
+
1
6
x
=
2
Step 4: Divide both sides by 6.
6
x
6
=
2
6
x
=
1
3