Rearrange formulas to isolate a chosen quantity and interpret the result.
Rearrange a linear formula to isolate a chosen variable, especially when that variable appears in more than one term
Problem
Rearrange \(A~=~xB~+~xC\) to solve for \(x\), and state the required restriction.
Big Picture
What this problem is really about
The target variable appears in two separate terms, so trying to divide immediately would leave part of it behind. We’ll first combine those terms by factoring out the shared target, turning their remaining coefficients into one grouped factor. Then one division isolates the target, with a nonzero restriction attached to that entire factor.
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