2/3(x+2)=1/6x+1/3 what’s the sum

x = -2

Explanation:

Simplify
2
3
(
x
+
2
)
3
2
​
(x+2) to
2
(
x
+
2
)
3
3
2(x+2)
​
.
2
(
x
+
2
)
3
=
1
6
x
+
1
3
3
2(x+2)
​
=
6
1
​
x+
3
1
​

2 Simplify
1
6
x
6
1
​
x to
x
6
6
x
​
.
2
(
x
+
2
)
3
=
x
6
+
1
3
3
2(x+2)
​
=
6
x
​
+
3
1
​

3 Multiply both sides by
6
6 (the LCM of
3
,
6
3,6).
4
(
x
+
2
)
=
x
+
2
4(x+2)=x+2

4 Expand.
4
x
+
8
=
x
+
2
4x+8=x+2

5 Subtract
x
x from both sides.
4
x
+
8
−
x
=
2
4x+8−x=2

6 Simplify
4
x
+
8
−
x
4x+8−x to
3
x
+
8
3x+8.
3
x
+
8
=
2
3x+8=2

7 Subtract
8
8 from both sides.
3
x
=
2
−
8
3x=2−8

8 Simplify
2
−
8
2−8 to
−
6
−6.
3
x
=
−
6
3x=−6

9 Divide both sides by
3
3.
x
=
−
6
3
x=−
3
6
​

10 Simplify
6
3
3
6
​
to
2
2.
x
=
−
2
x=−2