Answer:
x=9
Explanation:
Solve for x
(
x
+
2
3
x
)
−
1
3
(
x
+
2
3
x
)
=
10
Simplify
x
+
2
3
x
−
1
3
⋅
(
x
+
2
3
x
)
.
Tap for fewer steps...
Simplify each term.
Tap for more steps...
x
+
2
x
3
−
5
x
9
=
10
Find the common denominator.
Tap for more steps...
x
⋅
9
9
+
2
x
⋅
3
9
−
5
x
9
=
10
Combine fractions with similar denominators.
x
⋅
9
+
2
x
⋅
3
−
5
x
9
=
10
Subtract
5
x
from
x
⋅
9
.
Tap for more steps...
2
x
⋅
3
+
4
⋅
x
9
=
10
Multiply
3
by
2
.
6
x
+
4
⋅
x
9
=
10
Add
6
x
and
4
⋅
x
.
10
x
9
=
10
Multiply both sides of the equation by
9
10
.
9
10
⋅
10
x
9
=
9
10
⋅
10
Simplify both sides of the equation.
Tap for fewer steps...
Simplify
9
10
⋅
10
x
9
.
Tap for more steps...
x
=
9
10
⋅
10
Cancel the common factor of
10
.
Tap for fewer steps...
Cancel the common factor.
x
=
9
10
⋅
10
Rewrite the expression.
x
=
9