3(3+b)=5(7b+1)

Solution for 3(3+b)=5(7b+1) equation:

Simplifying
3(3 + b) = 5(7b + 1)
(3 * 3 + b * 3) = 5(7b + 1)
(9 + 3b) = 5(7b + 1)

Reorder the terms:
9 + 3b = 5(1 + 7b)
9 + 3b = (1 * 5 + 7b * 5)
9 + 3b = (5 + 35b)

Solving
9 + 3b = 5 + 35b

Solving for variable 'b'.

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

Add '-35b' to each side of the equation.
9 + 3b + -35b = 5 + 35b + -35b

Combine like terms: 3b + -35b = -32b
9 + -32b = 5 + 35b + -35b

Combine like terms: 35b + -35b = 0
9 + -32b = 5 + 0
9 + -32b = 5

Add '-9' to each side of the equation.
9 + -9 + -32b = 5 + -9

Combine like terms: 9 + -9 = 0
0 + -32b = 5 + -9
-32b = 5 + -9

Combine like terms: 5 + -9 = -4
-32b = -4

Divide each side by '-32'.
b = 0.125

Simplifying
b = 0.125