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# How to Solve Linear Equations

28 November,2014

## Solving Linear Equations

Linear equations are equations with simple variables like x or y rather than complex variables like x/y or x. Linear equations are the simplest equations you will deal with in schools. In order to solve a linear equation you will first need to isolate a given variable by ‘undoing’ what has been done to the variable.

For instance, in the previous equation,  4x-7=5,

### Step 1

Try to isolate x by putting all the other coefficients and constants on one side. So shift them to the other side of the equals sign.

Thus in,

4x-7=5, shift 7 on the other side. This will give you:

4x=5+7 or 4x=12

### Step 2

You must note here that since 7 was being subtracted from 4x, in order to isolate 7 from 4x, you must add it to 5. This brings you to the most important part of solving an equation. Whatever you are doing on one side of the equation you must do it to the other side as well. For instance,

4x-7=    5

+7= +7      (manually adding both side 7)

4x=12

### Step 3

Divide 4 from both sides of the equation:

4x/4=12/4

Or x=3

This is how you solve a simple equation. Now let us turn our attention to more complex equations.How to Solve Linear Equations with Fractions

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