7b+2=3b-6

Solution for 7b+2=3b-6 equation:

Simplifying
7b + 2 = 3b + -6

Reorder the terms:
2 + 7b = 3b + -6

Reorder the terms:
2 + 7b = -6 + 3b

Solving
2 + 7b = -6 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
2 + 7b + -3b = -6 + 3b + -3b

Combine like terms: 7b + -3b = 4b
2 + 4b = -6 + 3b + -3b

Combine like terms: 3b + -3b = 0
2 + 4b = -6 + 0
2 + 4b = -6

Add '-2' to each side of the equation.
2 + -2 + 4b = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 4b = -6 + -2
4b = -6 + -2

Combine like terms: -6 + -2 = -8
4b = -8

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

Simplifying
b = -2