5b-3(4-b)=3(b+21)

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Solution for 5b-3(4-b)=3(b+21) equation:


Simplifying
5b + -3(4 + -1b) = 3(b + 21)
5b + (4 * -3 + -1b * -3) = 3(b + 21)
5b + (-12 + 3b) = 3(b + 21)

Reorder the terms:
-12 + 5b + 3b = 3(b + 21)

Combine like terms: 5b + 3b = 8b
-12 + 8b = 3(b + 21)

Reorder the terms:
-12 + 8b = 3(21 + b)
-12 + 8b = (21 * 3 + b * 3)
-12 + 8b = (63 + 3b)

Solving
-12 + 8b = 63 + 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.
-12 + 8b + -3b = 63 + 3b + -3b

Combine like terms: 8b + -3b = 5b
-12 + 5b = 63 + 3b + -3b

Combine like terms: 3b + -3b = 0
-12 + 5b = 63 + 0
-12 + 5b = 63

Add '12' to each side of the equation.
-12 + 12 + 5b = 63 + 12

Combine like terms: -12 + 12 = 0
0 + 5b = 63 + 12
5b = 63 + 12

Combine like terms: 63 + 12 = 75
5b = 75

Divide each side by '5'.
b = 15

Simplifying
b = 15

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