# Algebra 1 : How to solve one-step equations

## Example Questions

### Example Question #451 : Algebra 1

Solve the equation:

Explanation:

In order to solve for x, we will need to square both sides.

Simplify both sides.

However, if we substitute  back into the original equation, we will only find that positive three is a true solution, and not negative three.

### Example Question #452 : Algebra 1

Solve the equation:

Explanation:

To isolate the x-variable, divide by six on both sides of the equation.  This is similar to multiplying by one-sixth on both sides.

Simplify both sides.

### Example Question #453 : Algebra 1

Solve the equation:

Explanation:

In order to isolate the x-variable, multiply by  on both sides.

Simplify both sides of the equation.  On the right side, multiply the whole number to the numerator.

### Example Question #454 : Algebra 1

Solve the equation:

Explanation:

Divide by eight on both sides.

Simplify both sides.

Reduce this fraction by common factors.

### Example Question #455 : Algebra 1

Solve the equation:

Explanation:

Add 38 on both sides in order to isolate the x-variable.

Simplify both sides of the equation.

### Example Question #456 : Algebra 1

Solve for

Explanation:

To solve for  we multiply both sides by 3.

And we get

### Example Question #457 : Algebra 1

Solve for .

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

Subtract  on both sides.

### Example Question #458 : Algebra 1

Solve for .

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

Subtract  on both sides.

Since  is greater than  and is negative, our answer is negative. Therefore, we treat as a subtraction problem.

### Example Question #459 : Algebra 1

Solve for .

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

Subtract  on both sides.

Solve for .