2(b-23)+3(b-3)=30

Solution for 2(b-23)+3(b-3)=30 equation:

Simplifying
2(b + -23) + 3(b + -3) = 30

Reorder the terms:
2(-23 + b) + 3(b + -3) = 30
(-23 * 2 + b * 2) + 3(b + -3) = 30
(-46 + 2b) + 3(b + -3) = 30

Reorder the terms:
-46 + 2b + 3(-3 + b) = 30
-46 + 2b + (-3 * 3 + b * 3) = 30
-46 + 2b + (-9 + 3b) = 30

Reorder the terms:
-46 + -9 + 2b + 3b = 30

Combine like terms: -46 + -9 = -55
-55 + 2b + 3b = 30

Combine like terms: 2b + 3b = 5b
-55 + 5b = 30

Solving
-55 + 5b = 30

Solving for variable 'b'.

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

Add '55' to each side of the equation.
-55 + 55 + 5b = 30 + 55

Combine like terms: -55 + 55 = 0
0 + 5b = 30 + 55
5b = 30 + 55

Combine like terms: 30 + 55 = 85
5b = 85

Divide each side by '5'.
b = 17

Simplifying
b = 17