solve for x =x-2/5/x+2/5
Answers
Answer:
x=1
Step-by-step explanation:
How to solve your question
Your question is
=
−
1
⋅
2
5
+
2
5
x=x-1 \cdot \frac{\frac{2}{5}}{x}+\frac{2}{5}
x=x−1⋅x52+52
Solve
1
Combine multiplied terms into a single fraction
=
−
1
⋅
2
5
+
2
5
=
+
−
1
⋅
2
5
+
2
5
2
Multiply the numbers
=
+
−
1
⋅
2
5
+
2
5
=
+
−
2
5
+
2
5
3
Subtract
x
x
from both sides of the equation
=
+
−
2
5
+
2
5
−
=
+
−
2
5
+
2
5
−
4
Simplify
Combine like terms
Combine like terms
0
=
−
2
5
+
2
5
5
Subtract
2
5
\frac{2}{5}
52
from both sides of the equation
0
=
−
2
5
+
2
5
0
−
2
5
=
−
2
5
+
2
5
−
2
5
6
Simplify
Subtract the numbers
Subtract the numbers
−
2
5
=
−
2
5
7
Multiply all terms by the same value to eliminate fraction denominators
−
2
5
=
−
2
5
(
−
2
5
)
=
⋅
−
2
5
8
Simplify
Re-order terms so that constants are on the left
Combine multiplied terms into a single fraction
Cancel multiplied terms that are in the denominator
−
2
5
=
−
2
5
9
Multiply all terms by the same value to eliminate fraction denominators
−
2
5
=
−
2
5
5
⋅
−
2
5
=
5
(
−
2
5
)
10
Simplify
Cancel multiplied terms that are in the denominator
Multiply the numbers
−
2
=
−
2
11
Divide both sides of the equation by the same term
−
2
=
−
2
−
2
−
2
=
−
2
−
2
12
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=1