Solve for q.
3/2 – 5/4q + 2/3q – 5/6 = -q
q =
Solve for q. 3/2 – 5/4q + 2/3q – 5/6 = -q q =
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Solve for q.
3/2 – 5/4q + 2/3q – 5/6 = -q
q =
To solve the equation ( frac{3}{2} – frac{5}{4}q + frac{2}{3}q – frac{5}{6} = -q ), let’s follow these steps:
1. Combine like terms: Start by moving all ( q ) terms to one side and constant terms to the other.
The equation can be rearranged as:
[
-frac{5}{4}q + frac{2}{3}q + q = frac{3}{2} – frac{5}{6}
]
2. Convert constants: Find a common denominator for the numbers on the right side. The common denominator for ( 2 ) and ( 6 ) is ( 6 ):
[
frac{3}{2} = frac{9}{6}
]
Now, replace it in the equation:
[
-frac{5}{4}q + frac{2}{3}q + q = frac{9}{6} – frac{5}{6}
]
Simplifying the right side gives:
[
frac{9 – 5}{6} = frac{4}{6} = frac{2}{3}
]
3. Combine ( q ) terms: Convert all coefficients of ( q