6(b-1)=3(b+2)

Solution for 6(b-1)=3(b+2) equation:

Simplifying
6(b + -1) = 3(b + 2)

Reorder the terms:
6(-1 + b) = 3(b + 2)
(-1 * 6 + b * 6) = 3(b + 2)
(-6 + 6b) = 3(b + 2)

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

Solving
-6 + 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.
-6 + 6b + -3b = 6 + 3b + -3b

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

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

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

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

Combine like terms: 6 + 6 = 12
3b = 12

Divide each side by '3'.
b = 4

Simplifying
b = 4