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Solving Equations

Using Division

Recall beginning to solve the equation "x + 23 = 3x + 45". Applying addition and subtraction gave

(from previous page) 2x = -22

But our end goal is to determine what x is, not what 2x is! Imagine that three investors own an equal share in the company Example.Com. The total worth of Example.com is $300,000. To determine what the share of each investor is, simply divide the total investment by 3:

$300,000 / 3 = $100,000
Thus, each investor has a $100,000 stake in Example.com. We apply the same idea to finding the value of x. However, instead of dividing by the number of investors, we divide by the coefficient of the variable. Since we determined that the coefficient of x is 2, we divide each side of the equation by 2:
After dividing by 2 1x = -11
 
Finally rewritten as x = -11

Continue to the next page for additional resources and tools for help with basic equations.


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