5b-3(b-2)=34

Solution for 5b-3(b-2)=34 equation:

Simplifying
5b + -3(b + -2) = 34

Reorder the terms:
5b + -3(-2 + b) = 34
5b + (-2 * -3 + b * -3) = 34
5b + (6 + -3b) = 34

Reorder the terms:
6 + 5b + -3b = 34

Combine like terms: 5b + -3b = 2b
6 + 2b = 34

Solving
6 + 2b = 34

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 + 2b = 34 + -6

Combine like terms: 6 + -6 = 0
0 + 2b = 34 + -6
2b = 34 + -6

Combine like terms: 34 + -6 = 28
2b = 28

Divide each side by '2'.
b = 14

Simplifying
b = 14