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5\left(2\times 2+1\right)b+2\left(3\times 5+3\right)-4b\leq 50
Multiply both sides of the equation by 10, the least common multiple of 2,5. Since 10 is positive, the inequality direction remains the same.
5\left(4+1\right)b+2\left(3\times 5+3\right)-4b\leq 50
Multiply 2 and 2 to get 4.
5\times 5b+2\left(3\times 5+3\right)-4b\leq 50
Add 4 and 1 to get 5.
25b+2\left(3\times 5+3\right)-4b\leq 50
Multiply 5 and 5 to get 25.
25b+2\left(15+3\right)-4b\leq 50
Multiply 3 and 5 to get 15.
25b+2\times 18-4b\leq 50
Add 15 and 3 to get 18.
25b+36-4b\leq 50
Multiply 2 and 18 to get 36.
21b+36\leq 50
Combine 25b and -4b to get 21b.
21b\leq 50-36
Subtract 36 from both sides.
21b\leq 14
Subtract 36 from 50 to get 14.
b\leq \frac{14}{21}
Divide both sides by 21. Since 21 is positive, the inequality direction remains the same.
b\leq \frac{2}{3}
Reduce the fraction \frac{14}{21} to lowest terms by extracting and canceling out 7.