How do you solve $x=b-cd,$ for $c?$

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Answer 1 · 2018-05-17T09:49:37

$c = (b-x)/d$

This means that you want to make $c$ the subject, ie so $color(blue)(c)$ is alone on one side.

$x = b-color(blue)(c)d" "larr$ make the term with $color(blue)(c)$ positive.

Add $cd$ to both sides:

$color(blue)(c)d+x = b-color(blue)(c)d+color(blue)(c)d$

$color(blue)(c)d+x-x = b -x" "larr$ subtract $x$ from both sides

$color(blue)(c)d = b-x$

Divide both sides by $d$ to isolate $color(blue)(c)$

$(color(blue)(c)d)/d = (b-x)/d$

$color(blue)(c) = (b-x)/d$

How do you solve x=b-cd,x=b-cd, for c?c?