12b-3=7b+42

Solution for 12b-3=7b+42 equation:

Simplifying
12b + -3 = 7b + 42

Reorder the terms:
-3 + 12b = 7b + 42

Reorder the terms:
-3 + 12b = 42 + 7b

Solving
-3 + 12b = 42 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
-3 + 12b + -7b = 42 + 7b + -7b

Combine like terms: 12b + -7b = 5b
-3 + 5b = 42 + 7b + -7b

Combine like terms: 7b + -7b = 0
-3 + 5b = 42 + 0
-3 + 5b = 42

Add '3' to each side of the equation.
-3 + 3 + 5b = 42 + 3

Combine like terms: -3 + 3 = 0
0 + 5b = 42 + 3
5b = 42 + 3

Combine like terms: 42 + 3 = 45
5b = 45

Divide each side by '5'.
b = 9

Simplifying
b = 9