Question
Solve the equation
Solve for b
b=9
Evaluate
32b+5=20−b
Multiply both sides of the equation by LCM
(32b+5)×3=(20−b)×3
Calculate
More Steps

Evaluate
(32b+5)×3
Apply the distributive property
32b×3+5×3
Multiply the numbers
More Steps

Evaluate
32×3
Reduce the numbers
2×1
Simplify
2
2b+5×3
Multiply the numbers
2b+15
2b+15=(20−b)×3
Calculate
More Steps

Evaluate
(20−b)×3
Apply the distributive property
20×3−b×3
Multiply the numbers
60−b×3
Use the commutative property to reorder the terms
60−3b
2b+15=60−3b
Move the expression to the left side
2b+15+3b=60
Move the expression to the right side
2b+3b=60−15
Add and subtract
More Steps

Evaluate
2b+3b
Collect like terms by calculating the sum or difference of their coefficients
(2+3)b
Add the numbers
5b
5b=60−15
Add and subtract
5b=45
Divide both sides
55b=545
Divide the numbers
b=545
Solution
More Steps

Evaluate
545
Reduce the numbers
19
Calculate
9
b=9
Show Solution