5(b-12)-24=3(b+2)

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Solution for 5(b-12)-24=3(b+2) equation:


Simplifying
5(b + -12) + -24 = 3(b + 2)

Reorder the terms:
5(-12 + b) + -24 = 3(b + 2)
(-12 * 5 + b * 5) + -24 = 3(b + 2)
(-60 + 5b) + -24 = 3(b + 2)

Reorder the terms:
-60 + -24 + 5b = 3(b + 2)

Combine like terms: -60 + -24 = -84
-84 + 5b = 3(b + 2)

Reorder the terms:
-84 + 5b = 3(2 + b)
-84 + 5b = (2 * 3 + b * 3)
-84 + 5b = (6 + 3b)

Solving
-84 + 5b = 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.
-84 + 5b + -3b = 6 + 3b + -3b

Combine like terms: 5b + -3b = 2b
-84 + 2b = 6 + 3b + -3b

Combine like terms: 3b + -3b = 0
-84 + 2b = 6 + 0
-84 + 2b = 6

Add '84' to each side of the equation.
-84 + 84 + 2b = 6 + 84

Combine like terms: -84 + 84 = 0
0 + 2b = 6 + 84
2b = 6 + 84

Combine like terms: 6 + 84 = 90
2b = 90

Divide each side by '2'.
b = 45

Simplifying
b = 45

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