-3(5b+2)=2(3b-24)

Solution for -3(5b+2)=2(3b-24) equation:

Simplifying
-3(5b + 2) = 2(3b + -24)

Reorder the terms:
-3(2 + 5b) = 2(3b + -24)
(2 * -3 + 5b * -3) = 2(3b + -24)
(-6 + -15b) = 2(3b + -24)

Reorder the terms:
-6 + -15b = 2(-24 + 3b)
-6 + -15b = (-24 * 2 + 3b * 2)
-6 + -15b = (-48 + 6b)

Solving
-6 + -15b = -48 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-6 + -15b + -6b = -48 + 6b + -6b

Combine like terms: -15b + -6b = -21b
-6 + -21b = -48 + 6b + -6b

Combine like terms: 6b + -6b = 0
-6 + -21b = -48 + 0
-6 + -21b = -48

Add '6' to each side of the equation.
-6 + 6 + -21b = -48 + 6

Combine like terms: -6 + 6 = 0
0 + -21b = -48 + 6
-21b = -48 + 6

Combine like terms: -48 + 6 = -42
-21b = -42

Divide each side by '-21'.
b = 2

Simplifying
b = 2