(0.59*(924-b))=(1.17*b)

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Solution for (0.59*(924-b))=(1.17*b) equation: 


Simplifying
(0.59(924 + -1b)) = (1.17b)
((924 * 0.59 + -1b * 0.59)) = (1.17b)
((545.16 + -0.59b)) = (1.17b)
(545.16 + -0.59b) = (1.17b)

Remove parenthesis around (545.16 + -0.59b)
545.16 + -0.59b = (1.17b)

Solving
545.16 + -0.59b = (1.17b)

Solving for variable 'b'.

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

Add '(-1.17b)' to each side of the equation.
545.16 + -0.59b + (-1.17b) = (1.17b) + (-1.17b)

Combine like terms: -0.59b + (-1.17b) = -1.76b
545.16 + -1.76b = (1.17b) + (-1.17b)

Combine like terms: (1.17b) + (-1.17b) = 0.00
545.16 + -1.76b = 0.00

Add '-545.16' to each side of the equation.
545.16 + -545.16 + -1.76b = 0.00 + -545.16

Combine like terms: 545.16 + -545.16 = 0.00
0.00 + -1.76b = 0.00 + -545.16
-1.76b = 0.00 + -545.16

Combine like terms: 0.00 + -545.16 = -545.16
-1.76b = -545.16

Divide each side by '-1.76'.
b = 309.75

Simplifying
b = 309.75

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