Question

3/x-1-2/x-2=1/x-3
please answer step by step​

Answer 1

Answer:

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Answer 2

Combine multiplied terms into a single fraction
3

−
1
−
1
⋅
2

−
2
=
1

−
3
3
x
−
1
−
1
⋅
2
x
−
2
=
1
x
−
3
x3​−1−1⋅x2​−2=x1​−3
3

−
1
+
−
1
⋅
2

−
2
=
1

−
3
3
x
−
1
+
−
1
⋅
2
x
−
2
=
1
x
−
3
x3​−1+x−1⋅2​−2=x1​−3
2
Multiply the numbers
3

−
1
+
−
1
⋅
2

−
2
=
1

−
3
3
x
−
1
+
−
1
⋅
2
x
−
2
=
1
x
−
3
x3​−1+x−1⋅2​−2=x1​−3
3

−
1
+
−
2

−
2
=
1

−
3
3
x
−
1
+
−
2
x
−
2
=
1
x
−
3
x3​−1+x−2​−2=x1​−3
3
Subtract the numbers
3

−
1
+
−
2

−
2
=
1

−
3
3
x
−
1
+
−
2
x
−
2
=
1
x
−
3
x3​−1+x−2​−2=x1​−3
3

−
3
+
−
2

=
1

−
3
3
x
−
3
+
−
2
x
=
1
x
−
3
x3​−3+x−2​=x1​−3
4
Add
3
3
3
to both sides of the equation
3

−
3
+
−
2

=
1

−
3
3
x
−
3
+
−
2
x
=
1
x
−
3
x3​−3+x−2​=x1​−3
3

−
3
+
−
2

+
3
=
1

−
3
+
3
3
x
−
3
+
−
2
x
+
3
=
1
x
−
3
+
3
x3​−3+x−2​+3=x1​−3+3
5
Simplify
Add the numbers
Add the numbers
3

+
−
2

=
1

3
x
+
−
2
x
=
1
x
x3​+x−2​=x1​
6
Multiply all terms by the same value to eliminate fraction denominators
3

+
−
2

=
1

3
x
+
−
2
x
=
1
x
x3​+x−2​=x1​

(
3

+
−
2

)
=

⋅
1

x
(
3
x
+
−
2
x
)
=
x
⋅
1
x
x(x3​+x−2​)=x⋅x1​
7
Simplify
Distribute
Cancel multiplied terms that are in the denominator
Cancel multiplied terms that are in the denominator
Subtract the numbers
Cancel multiplied terms that are in the denominator
1