6(2b+1)=3(5b-2)

Solution for 6(2b+1)=3(5b-2) equation:

Simplifying
6(2b + 1) = 3(5b + -2)

Reorder the terms:
6(1 + 2b) = 3(5b + -2)
(1 * 6 + 2b * 6) = 3(5b + -2)
(6 + 12b) = 3(5b + -2)

Reorder the terms:
6 + 12b = 3(-2 + 5b)
6 + 12b = (-2 * 3 + 5b * 3)
6 + 12b = (-6 + 15b)

Solving
6 + 12b = -6 + 15b

Solving for variable 'b'.

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

Add '-15b' to each side of the equation.
6 + 12b + -15b = -6 + 15b + -15b

Combine like terms: 12b + -15b = -3b
6 + -3b = -6 + 15b + -15b

Combine like terms: 15b + -15b = 0
6 + -3b = -6 + 0
6 + -3b = -6

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

Combine like terms: 6 + -6 = 0
0 + -3b = -6 + -6
-3b = -6 + -6

Combine like terms: -6 + -6 = -12
-3b = -12

Divide each side by '-3'.
b = 4

Simplifying
b = 4