6(b-5)=3(b+2)

Solution for 6(b-5)=3(b+2) equation:

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

Reorder the terms:
6(-5 + b) = 3(b + 2)
(-5 * 6 + b * 6) = 3(b + 2)
(-30 + 6b) = 3(b + 2)

Reorder the terms:
-30 + 6b = 3(2 + b)
-30 + 6b = (2 * 3 + b * 3)
-30 + 6b = (6 + 3b)

Solving
-30 + 6b = 6 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
-30 + 6b + -3b = 6 + 3b + -3b

Combine like terms: 6b + -3b = 3b
-30 + 3b = 6 + 3b + -3b

Combine like terms: 3b + -3b = 0
-30 + 3b = 6 + 0
-30 + 3b = 6

Add '30' to each side of the equation.
-30 + 30 + 3b = 6 + 30

Combine like terms: -30 + 30 = 0
0 + 3b = 6 + 30
3b = 6 + 30

Combine like terms: 6 + 30 = 36
3b = 36

Divide each side by '3'.
b = 12

Simplifying
b = 12