Solve for $x$.
$\frac{-37+x}{4}=-6$
Simplify your answer as much as possible.
Answer (1)
Multiply both sides of the equation by 4: − 37 + x = − 24 .
Add 37 to both sides: x = − 24 + 37 .
Simplify the expression: x = 13 .
The solution to the equation is 13 .
Explanation
Understanding the Problem We are given the equation 4 − 37 + x = − 6 and our goal is to solve for x . This means we want to isolate x on one side of the equation.
Multiplying by 4 To isolate x , we first need to get rid of the fraction. We can do this by multiplying both sides of the equation by 4: 4 × 4 − 37 + x = 4 × ( − 6 ) This simplifies to: − 37 + x = − 24
Adding 37 to both sides Now, we need to isolate x by adding 37 to both sides of the equation: − 37 + x + 37 = − 24 + 37 This simplifies to: x = 13
Final Answer Therefore, the solution to the equation is x = 13 .
Examples
Imagine you're baking a cake and need to adjust a recipe. If the original recipe calls for a certain amount of flour, but you want to make a smaller cake, you need to solve an equation to find the new amount of flour. This problem demonstrates how to solve a simple linear equation, which is a fundamental skill in many real-life situations, from cooking to budgeting.
