Division in algebraic equations can be confusing. When you throw x's and n's into an already difficult type of math, then the problem may seem even more difficult. By taking a division problem apart piece by piece, however, you can reduce the complexity of the problem.

### Step 1

Copy your equation on a separate sheet of paper. For the first example, use 3n/5 = 12.

### Step 2

Begin by isolating the variable (n). In this equation, the first thing is to remove the /5. To eliminate division, you do the opposite operation -- which is multiplication. Multiply both sides of the equation by 5. (3n/5) * 5 = 12 * 5. This gives 3n = 60.

### Step 3

Isolate the variable by dividing by 3 on both sides of the equation. (3n/3 = 60/3). This gives n = 20.

### Step 4

Check your answer. (3*20)/5 = 12 is correct.

### Step 5

Solve more complex equations in the same manner. For example, (48x^2 + 4x -70)/(6x -7) = 90. The first goal is to isolate the variable. This requires simplifying the left hand side of the equation.

### Step 6

Factor the numerator and denominator of the equation completely. In this equation, the denominator is already simplified. You need to factor the numerator. The numerator factors into (8x + 10) (6x - 7).

### Step 7

Cancel the common factor. The 6x - 7 on the numerator and the 6x - 7 on the denominator cancel each other. This leaves 8x + 10 = 90. Solve for x by subtracting 10 from both sides and dividing by 8. You end up with x = 10.

### Step 8

Check your answer. (48 * 10^2 + 4 * 10 - 70)/(6 * 10 - 7) = 90. This gives you 4770/53 = 90, which is correct.