3(b-4)=-2(b+3)

Solution for 3(b-4)=-2(b+3) equation:

Simplifying
3(b + -4) = -2(b + 3)

Reorder the terms:
3(-4 + b) = -2(b + 3)
(-4 * 3 + b * 3) = -2(b + 3)
(-12 + 3b) = -2(b + 3)

Reorder the terms:
-12 + 3b = -2(3 + b)
-12 + 3b = (3 * -2 + b * -2)
-12 + 3b = (-6 + -2b)

Solving
-12 + 3b = -6 + -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.
-12 + 3b + 2b = -6 + -2b + 2b

Combine like terms: 3b + 2b = 5b
-12 + 5b = -6 + -2b + 2b

Combine like terms: -2b + 2b = 0
-12 + 5b = -6 + 0
-12 + 5b = -6

Add '12' to each side of the equation.
-12 + 12 + 5b = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 5b = -6 + 12
5b = -6 + 12

Combine like terms: -6 + 12 = 6
5b = 6

Divide each side by '5'.
b = 1.2

Simplifying
b = 1.2