Solve for x.
$\frac{x}{5}+5=15$
Answer (2)
To solve the equation 5 x + 5 = 15 , we first subtract 5 from both sides to get 5 x = 10 , and then multiply both sides by 5 to find that x = 50 .
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Subtract 5 from both sides of the equation: 5 x = 15 − 5 .
Simplify the right side: 5 x = 10 .
Multiply both sides by 5: x = 10 × 5 .
Simplify to find the value of x: x = 50 .
Explanation
Understanding the Problem We are given the equation 5 x + 5 = 15 and our goal is to isolate x to find its value.
Subtracting 5 from Both Sides First, we need to get rid of the + 5 on the left side of the equation. To do this, we subtract 5 from both sides of the equation: 5 x + 5 − 5 = 15 − 5
Simplifying the Equation Now, simplify both sides: 5 x = 10
Multiplying Both Sides by 5 Next, we want to isolate x by getting rid of the division by 5. To do this, we multiply both sides of the equation by 5: 5 × 5 x = 5 × 10
Finding the Value of x Simplify both sides to find the value of x :
x = 50
Final Answer Therefore, the solution to the equation is x = 50 .
Examples
Imagine you're baking a cake and need to adjust the recipe. If the original recipe calls for 5 x cups of flour and you know you need a total of 15 cups of ingredients, with 5 cups already accounted for by other ingredients, solving this equation helps you determine exactly how much flour ( x ) you need to add. This kind of algebraic problem-solving is essential in cooking, construction, and many other fields where precise measurements are crucial.
