Solve x+3+6/(x-5) = 3
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2
Answer:
See a solution process below:
Explanation:
Multiply each side of the equation by
5
(
x
+
3
)
to eliminate the fractions while keeping the equation balanced:
5
(
x
+
3
)
×
3
5
=
5
(
x
+
3
)
×
6
x
+
3
5
(
x
+
3
)
×
3
5
=
5
(
x
+
3
)
×
6
x
+
3
3
(
x
+
3
)
=
5
×
6
(
3
×
x
)
+
(
3
×
3
)
=
30
3
x
+
9
=
30
Next, subtract
9
from each side of the equation to isolate the
x
term while keeping the equation balanced:
3
x
+
9
−
9
=
30
−
9
3
x
+
0
=
21
3
x
=
21
Now, divide each side of the equation by
3
to solve for
x
while keeping the equation balanced:
3
x
3
=
21
3
3
x
3
=
7
x
=
7
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