3(b-24)=19-2(b-2)

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Solution for 3(b-24)=19-2(b-2) equation:


Simplifying
3(b + -24) = 19 + -2(b + -2)

Reorder the terms:
3(-24 + b) = 19 + -2(b + -2)
(-24 * 3 + b * 3) = 19 + -2(b + -2)
(-72 + 3b) = 19 + -2(b + -2)

Reorder the terms:
-72 + 3b = 19 + -2(-2 + b)
-72 + 3b = 19 + (-2 * -2 + b * -2)
-72 + 3b = 19 + (4 + -2b)

Combine like terms: 19 + 4 = 23
-72 + 3b = 23 + -2b

Solving
-72 + 3b = 23 + -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.
-72 + 3b + 2b = 23 + -2b + 2b

Combine like terms: 3b + 2b = 5b
-72 + 5b = 23 + -2b + 2b

Combine like terms: -2b + 2b = 0
-72 + 5b = 23 + 0
-72 + 5b = 23

Add '72' to each side of the equation.
-72 + 72 + 5b = 23 + 72

Combine like terms: -72 + 72 = 0
0 + 5b = 23 + 72
5b = 23 + 72

Combine like terms: 23 + 72 = 95
5b = 95

Divide each side by '5'.
b = 19

Simplifying
b = 19

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