Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
Solve for b
Solve for d
b=−d
Evaluate
7b−d×52=6b−d×57
Use the commutative property to reorder the terms
7b−52d=6b−d×57
Use the commutative property to reorder the terms
7b−52d=6b−57d
Multiply both sides of the equation by LCM
(7b−52d)×5=(6b−57d)×5
Calculate
More Steps
Evaluate
(7b−52d)×5
Apply the distributive property
7b×5−52d×5
Multiply the numbers
35b−52d×5
Multiply the terms
More Steps
Evaluate
52×5
Reduce the numbers
2×1
Simplify
2
35b−2d
35b−2d=(6b−57d)×5
Calculate
More Steps
Evaluate
(6b−57d)×5
Apply the distributive property
6b×5−57d×5
Multiply the numbers
30b−57d×5
Multiply the terms
More Steps
Evaluate
57×5
Reduce the numbers
7×1
Simplify
7
30b−7d
35b−2d=30b−7d
Move the expression to the left side
35b−2d−30b=−7d
Move the expression to the right side
35b−30b=−7d+2d
Add and subtract
More Steps
Evaluate
35b−30b
Collect like terms by calculating the sum or difference of their coefficients
(35−30)b
Subtract the numbers
5b
5b=−7d+2d
Add and subtract
More Steps
Evaluate
−7d+2d
Collect like terms by calculating the sum or difference of their coefficients
(−7+2)d
Add the numbers
−5d
5b=−5d
Divide both sides
55b=5−5d
Divide the numbers
b=5−5d
Solution
More Steps
Evaluate
5−5d
Reduce the numbers
1−d
Calculate
−d
b=−d
Show Solution
