Question

How do you solve each equation for $x:mx + nx = p?$

Answer 1

Hint: A statement that the values of two mathematical expressions are equal. In this question the following hint can be helpful to solve the question. There is no rule when you have a word math problem and also there is no specific formula that you use when you need to solve word problems. It is all about logic. If you want, you can post a question (specific word problem) and we will answer it and explain how to solve it.

Complete step by step answer:
Take $x$ out as a common factor on the left side of the equation.
$ \Rightarrow x(m + n) = p$
To solve for $x$, divide both sides by $(m + n)$
$\dfrac{{x(m + n)}}{{(m + n)}} = \dfrac{p}{{m + n}}$
$ \Rightarrow x = \dfrac{p}{{m + n}}$ is the solution.

Note: Mathematics is a field where one can take multiple approaches to get to the solution of a problem. This simplified step-by-step approach will help you unravel the solution to even the toughest math problem.
Here are four steps to help solve any math problems easily:
- Read carefully, understand, and identify the type of problem.
- Draw and review your problem.
- Develop the plan to solve it.
- Solve the problem.