3(2b+1)=15(5b+16)

Solution for 3(2b+1)=15(5b+16) equation:

Simplifying
3(2b + 1) = 15(5b + 16)

Reorder the terms:
3(1 + 2b) = 15(5b + 16)
(1 * 3 + 2b * 3) = 15(5b + 16)
(3 + 6b) = 15(5b + 16)

Reorder the terms:
3 + 6b = 15(16 + 5b)
3 + 6b = (16 * 15 + 5b * 15)
3 + 6b = (240 + 75b)

Solving
3 + 6b = 240 + 75b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-75b' to each side of the equation.
3 + 6b + -75b = 240 + 75b + -75b

Combine like terms: 6b + -75b = -69b
3 + -69b = 240 + 75b + -75b

Combine like terms: 75b + -75b = 0
3 + -69b = 240 + 0
3 + -69b = 240

Add '-3' to each side of the equation.
3 + -3 + -69b = 240 + -3

Combine like terms: 3 + -3 = 0
0 + -69b = 240 + -3
-69b = 240 + -3

Combine like terms: 240 + -3 = 237
-69b = 237

Divide each side by '-69'.
b = -3.434782609

Simplifying
b = -3.434782609