3b-6=7(b+2)

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

Simplifying
3b + -6 = 7(b + 2)

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

Reorder the terms:
-6 + 3b = 7(2 + b)
-6 + 3b = (2 * 7 + b * 7)
-6 + 3b = (14 + 7b)

Solving
-6 + 3b = 14 + 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 = 14 + 7b + -7b

Combine like terms: 3b + -7b = -4b
-6 + -4b = 14 + 7b + -7b

Combine like terms: 7b + -7b = 0
-6 + -4b = 14 + 0
-6 + -4b = 14

Add '6' to each side of the equation.
-6 + 6 + -4b = 14 + 6

Combine like terms: -6 + 6 = 0
0 + -4b = 14 + 6
-4b = 14 + 6

Combine like terms: 14 + 6 = 20
-4b = 20

Divide each side by '-4'.
b = -5

Simplifying
b = -5