To solve the equation 2 c + 15 = 33 , first subtract 15 from both sides to isolate 2 c , resulting in 2 c = 18 . Then, divide both sides by 2 to find that c = 9 . Thus, the value of c is 9.
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Subtract 15 from both sides of the equation: 2 c = 33 − 15 .
Simplify the right side of the equation: 2 c = 18 .
Divide both sides of the equation by 2: c = 2 18 .
Simplify the right side of the equation to find the value of c : c = 9 .
Explanation
Understanding the Problem We are given the equation 2 c + 15 = 33 and asked to solve for c . This is a simple linear equation.
Isolating the Variable Term To isolate the term with c , we subtract 15 from both sides of the equation: 2 c + 15 − 15 = 33 − 15
Simplifying the Equation Simplifying both sides, we get: 2 c = 18
Solving for c Now, to solve for c , we divide both sides of the equation by 2: 2 2 c = 2 18
Finding the Value of c Simplifying, we find the value of c :
c = 9
Examples
Imagine you're saving money for a new video game that costs $33. You've already saved $15, and you plan to save the same amount each week for the next two weeks. This problem helps you determine how much you need to save each week to reach your goal. Understanding how to solve linear equations like this can help you manage your finances and plan your savings effectively.