x(cd+b)=L

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Solution for x(cd+b)=L equation: 


Simplifying
x(cd + b) = L

Reorder the terms:
x(b + cd) = L
(b * x + cd * x) = L
(bx + cdx) = L

Solving
bx + cdx = L

Solving for variable 'b'.

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

Add '-1cdx' to each side of the equation.
bx + cdx + -1cdx = L + -1cdx

Combine like terms: cdx + -1cdx = 0
bx + 0 = L + -1cdx
bx = L + -1cdx

Divide each side by 'x'.
b = x-1L + -1cd

Simplifying
b = x-1L + -1cd

Reorder the terms:
b = -1cd + x-1L

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