2(2b-3)+3b=8

Solution for 2(2b-3)+3b=8 equation:

Simplifying
2(2b + -3) + 3b = 8

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

Combine like terms: 4b + 3b = 7b
-6 + 7b = 8

Solving
-6 + 7b = 8

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 7b = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 7b = 8 + 6
7b = 8 + 6

Combine like terms: 8 + 6 = 14
7b = 14

Divide each side by '7'.
b = 2

Simplifying
b = 2