2(3b+1)=2(4b+3)

Solution for 2(3b+1)=2(4b+3) equation:

Simplifying
2(3b + 1) = 2(4b + 3)

Reorder the terms:
2(1 + 3b) = 2(4b + 3)
(1 * 2 + 3b * 2) = 2(4b + 3)
(2 + 6b) = 2(4b + 3)

Reorder the terms:
2 + 6b = 2(3 + 4b)
2 + 6b = (3 * 2 + 4b * 2)
2 + 6b = (6 + 8b)

Solving
2 + 6b = 6 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
2 + 6b + -8b = 6 + 8b + -8b

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

Combine like terms: 8b + -8b = 0
2 + -2b = 6 + 0
2 + -2b = 6

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

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

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

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

Simplifying
b = -2