3b-6=7b-22

Solution for 3b-6=7b-22 equation:

Simplifying
3b + -6 = 7b + -22

Reorder the terms:
-6 + 3b = 7b + -22

Reorder the terms:
-6 + 3b = -22 + 7b

Solving
-6 + 3b = -22 + 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.
-6 + 3b + -7b = -22 + 7b + -7b

Combine like terms: 3b + -7b = -4b
-6 + -4b = -22 + 7b + -7b

Combine like terms: 7b + -7b = 0
-6 + -4b = -22 + 0
-6 + -4b = -22

Add '6' to each side of the equation.
-6 + 6 + -4b = -22 + 6

Combine like terms: -6 + 6 = 0
0 + -4b = -22 + 6
-4b = -22 + 6

Combine like terms: -22 + 6 = -16
-4b = -16

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

Simplifying
b = 4