How to solve linear equations:

Linear equations get their name because when plotted on a graph they always produce a simple straight line (LINEar!).

Linear equations that we will solve only has one variable (so only one letter which is the 'unknown variable', the letter could be any number and we don't know what it is).

In linear equation there is only possible answer this letter could be.

The method for solving linear equations will change depending on the equation you’re given, and its complexity, but the basic tools will always be simplifying both sides where possible, and rearranging terms (moving them to the other side of the equals side, and balancing the equation)

When solving a linear equation you must begin by firstly isolating the variable - this basically means to get x to one side of the equation (it is possible that the x has a number attached to it, that doesn't matter, it's still an x term) and all the numbers on to the other side of the equation.

Now let's work through an example and solve a linear equation:

x - 8 = -12

So now we must get all the numbers to one side, but remeber that whatever we do to one side of the equation we must do to the other.

x - 8 = - 12

+ 8       + 8

x = - 4

Another example of how to solve a linear equation:

3x +2 = -7

We want all the numbers on one side, so we subtract 2 from both sides to give us

3x = -9

We now divide by 3 on both sides to get x on it's own

x = -3

Now you should confindently know how to solve linear equations!

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