100=0.5(b+12)(5)

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Solution for 100=0.5(b+12)(5) equation:


Simplifying
100 = 0.5(b + 12)(5)

Reorder the terms:
100 = 0.5(12 + b)(5)

Reorder the terms for easier multiplication:
100 = 0.5 * 5(12 + b)

Multiply 0.5 * 5
100 = 2.5(12 + b)
100 = (12 * 2.5 + b * 2.5)
100 = (30 + 2.5b)

Solving
100 = 30 + 2.5b

Solving for variable 'b'.

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

Add '-2.5b' to each side of the equation.
100 + -2.5b = 30 + 2.5b + -2.5b

Combine like terms: 2.5b + -2.5b = 0.0
100 + -2.5b = 30 + 0.0
100 + -2.5b = 30

Add '-100' to each side of the equation.
100 + -100 + -2.5b = 30 + -100

Combine like terms: 100 + -100 = 0
0 + -2.5b = 30 + -100
-2.5b = 30 + -100

Combine like terms: 30 + -100 = -70
-2.5b = -70

Divide each side by '-2.5'.
b = 28

Simplifying
b = 28

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