.083(48+24b)=2(17-4b)

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Solution for .083(48+24b)=2(17-4b) equation: 


Simplifying
0.083(48 + 24b) = 2(17 + -4b)
(48 * 0.083 + 24b * 0.083) = 2(17 + -4b)
(3.984 + 1.992b) = 2(17 + -4b)
3.984 + 1.992b = (17 * 2 + -4b * 2)
3.984 + 1.992b = (34 + -8b)

Solving
3.984 + 1.992b = 34 + -8b

Solving for variable 'b'.

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

Add '8b' to each side of the equation.
3.984 + 1.992b + 8b = 34 + -8b + 8b

Combine like terms: 1.992b + 8b = 9.992b
3.984 + 9.992b = 34 + -8b + 8b

Combine like terms: -8b + 8b = 0
3.984 + 9.992b = 34 + 0
3.984 + 9.992b = 34

Add '-3.984' to each side of the equation.
3.984 + -3.984 + 9.992b = 34 + -3.984

Combine like terms: 3.984 + -3.984 = 0.000
0.000 + 9.992b = 34 + -3.984
9.992b = 34 + -3.984

Combine like terms: 34 + -3.984 = 30.016
9.992b = 30.016

Divide each side by '9.992'.
b = 3.004003203

Simplifying
b = 3.004003203

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