# Algebra II : Solving Equations

## Example Questions

### Example Question #2371 : Algebra Ii

Solve for :

Explanation:

Step 1: Multiply both sides of the equation by 5.

Step 2: Add 25 to both sides of the equation.

Step 3: Divide both sides of the equation by -1.

### Example Question #2372 : Algebra Ii

Solve for :

Explanation:

Step 1: Multiply both sides of the equation by 6.

Step 2: Add  to both sides of the equation, and add 12 to both sides of the equation.

Step 3: Divide both sides of the equation by 8.

### Example Question #2373 : Algebra Ii

Solve for :

Explanation:

Step 1: Multiply both sides of the equation by 5.

Step 2: Add  to both sides of the equation, and subtract 500 from both sides of the equation.

Step 3: Divide both sides of the equation by 17.

### Example Question #2374 : Algebra Ii

Solve:

Explanation:

Take this equation step by step. First, I would do the distributive property so that the equation looks like:

.

Next, combine like terms:

.

Subtract 2 from both sides so that you get

.

Then, divide by 6 so that x=3.

### Example Question #2375 : Algebra Ii

Find .

Explanation:

To find  you must isolate the variable on one side of the equation. In this case, start by dividing both sides of the equation by .

Then, subtract  from each side.

This will leave you with the answer .

### Example Question #181 : Equations

Solve this equation:

Explanation:

First things first, always do the same operation to each side; never subtract only from one side. We do this because of the equal sign in the middle (each side must remain equal to each other).

First distribute the negative sign on the right side:

Now get all the x's on one side by adding 12 to BOTH sides:

Simplify the right side:

Isolate the X variable:

Once more, but this time by division:

### Example Question #182 : Equations

Solve the following equation:

Explanation:

Collect like terms and solve for x.

### Example Question #183 : Equations

Solve for :

Explanation:

To solve, we first need to get x out of the denominator so that we can start to isolate it.

Multiply both sides by :

Divide both sides by 3.

Subtract 7 from both sides.

Divide by 2

### Example Question #2379 : Algebra Ii

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

First divide both sides by -2.

Next, subtract 1 from both sides.

### Example Question #2381 : Algebra Ii

Solve for :

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

First multiply both sides by 3.

.

Next, add 4 to both sides.

Finally, divide both sides by 2.