3(b-2)=2(b+13)

Solution for 3(b-2)=2(b+13) equation:

Simplifying
3(b + -2) = 2(b + 13)

Reorder the terms:
3(-2 + b) = 2(b + 13)
(-2 * 3 + b * 3) = 2(b + 13)
(-6 + 3b) = 2(b + 13)

Reorder the terms:
-6 + 3b = 2(13 + b)
-6 + 3b = (13 * 2 + b * 2)
-6 + 3b = (26 + 2b)

Solving
-6 + 3b = 26 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
-6 + 3b + -2b = 26 + 2b + -2b

Combine like terms: 3b + -2b = 1b
-6 + 1b = 26 + 2b + -2b

Combine like terms: 2b + -2b = 0
-6 + 1b = 26 + 0
-6 + 1b = 26

Add '6' to each side of the equation.
-6 + 6 + 1b = 26 + 6

Combine like terms: -6 + 6 = 0
0 + 1b = 26 + 6
1b = 26 + 6

Combine like terms: 26 + 6 = 32
1b = 32

Divide each side by '1'.
b = 32

Simplifying
b = 32