Introduction to Elementary AlgebraHelp on solving algebra math problemsSimple step by step method |

We are now ready to start solving the equation below.

Solving means to know the value for 'x'.

We know the value of 'x' when we can say: 'x' is equal to …

Or

We know the value of 'x' when we can say: 'x' is equal to …

Or

the left side of the equal sign.

**Most important rule**: Because both sides of an equation are EQUAL,

any operation we do on one side must be done on the other side.

So let’s start

any operation we do on one side must be done on the other side.

So let’s start

We already got an x of the left side. But we don’t want the x on the right side.

What can we do?

We know from the previous lesson

that we can make the +2x disappear

if we use

What can we do?

We know from the previous lesson

that we can make the +2x disappear

if we use

On the right side of the equation.

Because it is the**opposite** operation.

**But remember:** to keep things legal we must do the same thing on the

left side also.

Let’s do it

Because it is the

left side also.

Let’s do it

On the right side of the equal sign

Is equal to zero.

The equation becomes

The equation becomes

On the left side we can put the 'x's together like this

It’s easy to see that

Now the equation becomes

Which is the same as

because

This is where we are now

If we can make the -4 disappear we finally get the x alone on the left side of the

equal sign and we can say that we solved the equation.

The opposite of -4 is +4 so let’s do it on**BOTH sides**.

equal sign and we can say that we solved the equation.

The opposite of -4 is +4 so let’s do it on

or

Congratulations!The equation is solved !If we use 11 in place of 'x' we will get that both sides of the equation are EQUAL. |

In rapid motion...

Bye for now. More answers to algebra problems examples in a few days.

3x - 4 - 2x = 7 + 2x - 2x