Question

A(c+b)=d solve for c

Answer 1

`\displaystyle{c = (d)/(a) - b}`

Explanation:

Given the equation:

`\displaystyle{a(c + b) = d}`

First, divide both sides by a:

`\displaystyle{ (a(c + b))/(a) = (d)/(a) } \\ \\ \displaystyle{c + b = (d)/(a) }`

Then subtract both sides by b-term to isolate c-term:

`\displaystyle{c + b - b = (d)/(a) - b} \\ \\ \displaystyle{c = (d)/(a) - b}`