2b-6=2(3b+1)

Solution for 2b-6=2(3b+1) equation:

Simplifying
2b + -6 = 2(3b + 1)

Reorder the terms:
-6 + 2b = 2(3b + 1)

Reorder the terms:
-6 + 2b = 2(1 + 3b)
-6 + 2b = (1 * 2 + 3b * 2)
-6 + 2b = (2 + 6b)

Solving
-6 + 2b = 2 + 6b

Solving for variable 'b'.

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

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

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

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

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

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

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

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

Simplifying
b = -2