112k views
2 votes
Solve the equation.
-2/3 (x + 3/5) = 1/2



x=

1 Answer

5 votes

2
3
(
x
+
3
5
)
=
1
2
Step 1: Simplify both sides of the equation.

2
3
(
x
+
3
5
)
=
1
2
(

2
3
)
(
x
)
+
(

2
3
)
(
3
5
)
=
1
2
(Distribute)

2
3
x
+

2
5
=
1
2
Step 2: Add 2/5 to both sides.

2
3
x
+

2
5
+
2
5
=
1
2
+
2
5

2
3
x
=
9
10
Step 3: Multiply both sides by 3/(-2).
(
3

2
)
*
(

2
3
x
)
=
(
3

2
)
*
(
9
10
)
x
=

27
20
Answer:
x
=

27
20
User Julienne
by
5.0k points
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