Question
Solve the equation
t=58
Alternative Form
t=1.6
Evaluate
31(9t−8)=61(t×8)
Remove the parentheses
31(9t−8)=61t×8
Multiply the terms
More Steps

Evaluate
31(9t−8)
Apply the distributive property
31×9t−31×8
Multiply the numbers
More Steps

Evaluate
31×9
Reduce the numbers
1×3
Simplify
3
3t−31×8
Multiply the numbers
3t−38
3t−38=61t×8
Multiply the terms
More Steps

Evaluate
61×8
Reduce the numbers
31×4
Multiply the numbers
34
3t−38=34t
Move the variable to the left side
3t−38−34t=0
Subtract the terms
More Steps

Evaluate
3t−34t
Collect like terms by calculating the sum or difference of their coefficients
(3−34)t
Subtract the numbers
More Steps

Evaluate
3−34
Reduce fractions to a common denominator
33×3−34
Write all numerators above the common denominator
33×3−4
Multiply the numbers
39−4
Subtract the numbers
35
35t
35t−38=0
Move the constant to the right side
35t=0+38
Removing 0 doesn't change the value,so remove it from the expression
35t=38
Multiply by the reciprocal
35t×53=38×53
Multiply
t=38×53
Solution
More Steps

Evaluate
38×53
Reduce the numbers
8×51
Multiply the numbers
58
t=58
Alternative Form
t=1.6
Show Solution
