Question
Solve the equation
a=−1225
Alternative Form
a=−2.083˙
Evaluate
21a−31a−64a−83=32
Simplify
More Steps

Evaluate
21a−31a−64a−83
Cancel out the common factor 2
21a−31a−32a−83
Subtract the terms
More Steps

Evaluate
21a−31a−32a
Collect like terms by calculating the sum or difference of their coefficients
(21−31−32)a
Subtract the numbers
−21a
−21a−83
−21a−83=32
Move the constant to the right-hand side and change its sign
−21a=32+83
Add the numbers
More Steps

Evaluate
32+83
Reduce fractions to a common denominator
3×82×8+8×33×3
Multiply the numbers
242×8+8×33×3
Multiply the numbers
242×8+243×3
Write all numerators above the common denominator
242×8+3×3
Multiply the numbers
2416+3×3
Multiply the numbers
2416+9
Add the numbers
2425
−21a=2425
Change the signs on both sides of the equation
21a=−2425
Multiply by the reciprocal
21a×2=−2425×2
Multiply
a=−2425×2
Solution
More Steps

Evaluate
−2425×2
Reduce the numbers
−1225×1
Multiply the numbers
−1225
a=−1225
Alternative Form
a=−2.083˙
Show Solution
