2(3b)+4(5b)+12=82

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Solution for 2(3b)+4(5b)+12=82 equation:


Simplifying
2(3b) + 4(5b) + 12 = 82

Remove parenthesis around (3b)
2 * 3b + 4(5b) + 12 = 82

Multiply 2 * 3
6b + 4(5b) + 12 = 82

Remove parenthesis around (5b)
6b + 4 * 5b + 12 = 82

Multiply 4 * 5
6b + 20b + 12 = 82

Reorder the terms:
12 + 6b + 20b = 82

Combine like terms: 6b + 20b = 26b
12 + 26b = 82

Solving
12 + 26b = 82

Solving for variable 'b'.

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

Add '-12' to each side of the equation.
12 + -12 + 26b = 82 + -12

Combine like terms: 12 + -12 = 0
0 + 26b = 82 + -12
26b = 82 + -12

Combine like terms: 82 + -12 = 70
26b = 70

Divide each side by '26'.
b = 2.692307692

Simplifying
b = 2.692307692

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