Question

How do you solve for \[x\] in \[ax + b = c\]?

Answer 1

Hint: In the given question, we have been given an equation which is solved for \[c\]. We have to evaluate another variable in the question, \[x\]. To achieve that, we first separate all the terms on one side and the \[x\] on one side. Then we just free the \[x\] from any coefficient by dividing the two sides by the same coefficient and that gives us the answer.

Complete step by step answer:
The given equation is \[ax + b = c\].
Shifting \[b\] to the other side,
\[c - b = ax\]
Dividing both sides by \[a\] so as to free \[x\] from any coefficient, we get,
$\Rightarrow$ \[\dfrac{{c - b}}{a} = \dfrac{{ax}}{a}\]
$\Rightarrow$ \[\dfrac{{c - b}}{a} = x\]

or \[x = \dfrac{{c - b}}{a}\]

Note: We have to evaluate another variable in the question. To achieve that, we first separate all the terms on one side and the required variable on one side. Then we just free that variable from any coefficient by dividing the two sides by the same coefficient and that gives us the answer.