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Jul 26, 2023

Welcome to Mathnasium’s Math Tricks series. Today we are solving linear equations in the form *ax = b*.

We can sometimes solve “simple” linear equations using *inspection*, particularly when the answer is an integer.

But for some equations, it may be difficult to solve for *x* mentally, especially when the answer is a proper fraction or a mixed number. To solve for the *variable x* in these cases, divide both sides of the equation by the *coefficient* (the number that is being multiplied by the *variable*). The **Law of Equations** tells us that operations done on one side of the equal sign must also be done on the other side of the equal sign to keep the equation in balance.

Follow the examples below to solve for the variable.

**Step 1: Divide both sides of the equation by the coefficient.**

13 × 14 = 182

**Step 1: Divide both sides of the equation by the coefficient.**

5 × 2

Now, with this strategy, you are ready to use this Mathnasium Math Trick to solve linear equations in the form

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