4b+3=7b-6

Solution for 4b+3=7b-6 equation:

Simplifying
4b + 3 = 7b + -6

Reorder the terms:
3 + 4b = 7b + -6

Reorder the terms:
3 + 4b = -6 + 7b

Solving
3 + 4b = -6 + 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 + 4b + -7b = -6 + 7b + -7b

Combine like terms: 4b + -7b = -3b
3 + -3b = -6 + 7b + -7b

Combine like terms: 7b + -7b = 0
3 + -3b = -6 + 0
3 + -3b = -6

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

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

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

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

Simplifying
b = 3