One-Step Equations with Integers - Pre-Algebra

Isolate the variable by dividng both sides by 2:

Your answer should be the following:

In order to isolate on one side, we add 8 to both sides.

This gives us:

We need to isolate by dividing by 3.

Remember, what you do on one side, you must do on the other side.

Since you divided by , you also have to divde by :

Isolate the variable to one side.

Subtract from both sides:

In order to solve this equation, you have to isolate the variable to one side by reversing the operations done to it. Whatever is done on one side of the equals sign must be done on the other side of the equals sign as well. When the variable is by itself, it will be defined as whatever is left on the other side of the equals sign, and the equation is solved.

Subtract from each side.

To solve this equation, isolate the variable. Since 3x is a multiplication operation, do the opposite (division) to remove the 3. Keep in mind that you must do the same step on each side of the equation every time you change something.

To solve this equation, isolate the variable. To do this, move the 2 to the other side of the equation. Do this by doing the opposite operation (division). Keep in mind you must do the same step on each side of the equation every time you change something.

Your answer should look like this:

To solve this you must isolate your by subtracting 1 from both sides to get

or

Since both numbers are the same sign (negative), we can add them.

Remember to keep the sign! In this case, the answer is negative.

Because the signs are different (63 is negative, 15 is positive) we can subtract:

Remember: the largest number always keeps its sign!

Step 1: isolate x

Step 2: solve

If it's helpful, when you subtract a positive integer from a negative integer, you can think of it in terms of absolute value:

To isolate , we must move all other numbers to the right hand side. Therefore, we must divide both sides by 4.

To isolate , we must subtract 8 from both sides:

Divide both sides of the equation by 6:

Your result should be:

Subtract from both sides:

Your result should be:

Subtract 23 from both sides:

Your result should be:

Divide both sides of the equation by 3: