Answer :
the answer is x=1 2
x
+
3
x
−
1
2
−
(
5
x
−
2
3
)
=
2
2
x
+
3
2
x
+
−
1
2
+
−
5
3
x
+
2
3
=
2
(Distribute)
(
2
x
+
3
2
x
+
−
5
3
x
)
+
(
−
1
2
+
2
3
)
=
2
(Combine Like Terms)
11
6
x
+
1
6
=
2
11
6
x
+
1
6
=
2
Step 2: Subtract 1/6 from both sides.
11
6
x
+
1
6
−
1
6
=
2
−
1
6
11
6
x
=
11
6
Step 3: Multiply both sides by 6/11.
(
6
11
)
*
(
11
6
x
)
=
(
6
11
)
*
(
11
6
)
x
=
1
x
+
3
x
−
1
2
−
(
5
x
−
2
3
)
=
2
2
x
+
3
2
x
+
−
1
2
+
−
5
3
x
+
2
3
=
2
(Distribute)
(
2
x
+
3
2
x
+
−
5
3
x
)
+
(
−
1
2
+
2
3
)
=
2
(Combine Like Terms)
11
6
x
+
1
6
=
2
11
6
x
+
1
6
=
2
Step 2: Subtract 1/6 from both sides.
11
6
x
+
1
6
−
1
6
=
2
−
1
6
11
6
x
=
11
6
Step 3: Multiply both sides by 6/11.
(
6
11
)
*
(
11
6
x
)
=
(
6
11
)
*
(
11
6
)
x
=
1