7b+6=9b-2

Solution for 7b+6=9b-2 equation:

Simplifying
7b + 6 = 9b + -2

Reorder the terms:
6 + 7b = 9b + -2

Reorder the terms:
6 + 7b = -2 + 9b

Solving
6 + 7b = -2 + 9b

Solving for variable 'b'.

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

Add '-9b' to each side of the equation.
6 + 7b + -9b = -2 + 9b + -9b

Combine like terms: 7b + -9b = -2b
6 + -2b = -2 + 9b + -9b

Combine like terms: 9b + -9b = 0
6 + -2b = -2 + 0
6 + -2b = -2

Add '-6' to each side of the equation.
6 + -6 + -2b = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -2b = -2 + -6
-2b = -2 + -6

Combine like terms: -2 + -6 = -8
-2b = -8

Divide each side by '-2'.
b = 4

Simplifying
b = 4