**Linear equations** are expressions that can reduce to the form *ax+b=0*, with *a≠0*. Their only solution is *x=-(b/a)* and the unknown *x* only appears raised to 1.

**Examples linear equations:**

**Examples of nonlinear equations:**

## Equivalent equations

Two equations are equivalent if they have the same solution or both have no solution. Thus, the equations *5x–9=51* and *3x-7=89–5x* are equivalent because the solution of both is *x=12*.

To solve an equation, we have to clear the *x* using a series of steps. Each step consists of transforming the equation into another equivalent equation, in which the *x* is closest to being cleared.

## How to solve linear equations

Keep in mind the following rules to avoid making mistakes:

**Add or subtract the same expression in the two members of the equality.**That is, what is adding in one member passes by subtracting the other member, and vice versa.**Multiply or divide the two members by the same non-zero number**. In other words, what is multiplying everything else from one member happens dividing the other, and vice versa.

How to solve a linear equation:

**Remove denominators, if any.**For this, the two members of the equation are multiplied by a common multiple of the denominators; preferably, their least common multiple:

**Remove parentheses, if any.****Pass the x terms to one member and the numbers to the other member:****Simplify each member:****Clear the x and get the solution like this:****Check by substituting the x for the solution obtained.**Since they match, the solution is correct:

The best way to learn to solve linear equations is to practice doing lots of exercises. Start now and test yourself!

## Linear equation exercises

**1. Find out the value of x:**

## Ejercicios de ecuaciones

**2. Solve the following equations:**

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