3(4b-7)=2(3b+11)+5

Solution for 3(4b-7)=2(3b+11)+5 equation:

Simplifying
3(4b + -7) = 2(3b + 11) + 5

Reorder the terms:
3(-7 + 4b) = 2(3b + 11) + 5
(-7 * 3 + 4b * 3) = 2(3b + 11) + 5
(-21 + 12b) = 2(3b + 11) + 5

Reorder the terms:
-21 + 12b = 2(11 + 3b) + 5
-21 + 12b = (11 * 2 + 3b * 2) + 5
-21 + 12b = (22 + 6b) + 5

Reorder the terms:
-21 + 12b = 22 + 5 + 6b

Combine like terms: 22 + 5 = 27
-21 + 12b = 27 + 6b

Solving
-21 + 12b = 27 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-21 + 12b + -6b = 27 + 6b + -6b

Combine like terms: 12b + -6b = 6b
-21 + 6b = 27 + 6b + -6b

Combine like terms: 6b + -6b = 0
-21 + 6b = 27 + 0
-21 + 6b = 27

Add '21' to each side of the equation.
-21 + 21 + 6b = 27 + 21

Combine like terms: -21 + 21 = 0
0 + 6b = 27 + 21
6b = 27 + 21

Combine like terms: 27 + 21 = 48
6b = 48

Divide each side by '6'.
b = 8

Simplifying
b = 8