q-q/3+1/3=q/5-1/5+q
Find 'q'.
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Answers
How to solve your question
Your question is
−
1
⋅
3
+
1
3
=
5
−
1
⋅
1
5
+
q-1 \cdot \frac{q}{3}+\frac{1}{3}=\frac{q}{5}-1 \cdot \frac{1}{5}+q
q−1⋅3q+31=5q−1⋅51+q
Solve
1
Combine multiplied terms into a single fraction
−
1
⋅
3
+
1
3
=
5
−
1
⋅
1
5
+
+
−
3
+
1
3
=
5
−
1
⋅
1
5
+
2
Multiply the numbers
+
−
3
+
1
3
=
5
−
1
⋅
1
5
+
+
−
3
+
1
3
=
5
−
1
5
+
3
Subtract
1
3
\frac{1}{3}
31
from both sides of the equation
+
−
3
+
1
3
=
5
−
1
5
+
+
−
3
+
1
3
−
1
3
=
5
−
1
5
+
−
1
3
4
Simplify
Subtract the numbers
Subtract the numbers
+
−
3
=
5
−
8
1
5
+
5
Subtract
q
q
from both sides of the equation
+
−
3
=
5
−
8
1
5
+
+
−
3
−
=
5
−
8
1
5
+
−
6
Simplify
Combine like terms
Combine like terms
−
3
=
5
−
8
1
5
7
Multiply all terms by the same value to eliminate fraction denominators
−
3
=
5
−
8
1
5
3
⋅
5
⋅
−
3
=
3
⋅
5
(
5
−
8
1
5
)
8
Simplify
Cancel multiplied terms that are in the denominator
Multiply the numbers
Multiply the numbers
Distribute
Combine multiplied terms into a single fraction
Cancel terms that are in both the numerator and denominator
−
5
=
3
−
8
9
Subtract
3
3q
3q
from both sides of the equation
−
5
=
3
−
8
−
5
−
3
=
3
−
8
−
3
10
Simplify
Combine like terms
Combine like terms
−
8
=
−
8
11
Divide both sides of the equation by the same term
−
8
=
−
8
−
8
−
8
=
−
8
−
8
12
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
1