3b+2=7b-6

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

Simplifying
3b + 2 = 7b + -6

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

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

Solving
2 + 3b = -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.
2 + 3b + -7b = -6 + 7b + -7b

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

Combine like terms: 7b + -7b = 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