3b+6=4b-3

Solution for 3b+6=4b-3 equation:

Simplifying
3b + 6 = 4b + -3

Reorder the terms:
6 + 3b = 4b + -3

Reorder the terms:
6 + 3b = -3 + 4b

Solving
6 + 3b = -3 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
6 + 3b + -4b = -3 + 4b + -4b

Combine like terms: 3b + -4b = -1b
6 + -1b = -3 + 4b + -4b

Combine like terms: 4b + -4b = 0
6 + -1b = -3 + 0
6 + -1b = -3

Add '-6' to each side of the equation.
6 + -6 + -1b = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = -3 + -6
-1b = -3 + -6

Combine like terms: -3 + -6 = -9
-1b = -9

Divide each side by '-1'.
b = 9

Simplifying
b = 9