Solve the equation, $-1=-5+x$, for the given variable.
Answer (1)
Start with the equation − 1 = − 5 + x .
Add 5 to both sides: − 1 + 5 = − 5 + x + 5 .
Simplify: 4 = x .
The solution is 4 .
Explanation
Understanding the Problem We are given the equation − 1 = − 5 + x and our goal is to find the value of x that satisfies this equation. To do this, we need to isolate x on one side of the equation.
Isolating x To isolate x , we can add 5 to both sides of the equation. This will cancel out the -5 on the right side, leaving us with just x . So, we have: − 1 + 5 = − 5 + x + 5
Simplifying the Equation Now, we simplify both sides of the equation: 4 = x
Final Answer Therefore, the solution to the equation is x = 4 .
Examples
Imagine you are buying a toy that costs $5, but you only have 1. T o f i gu reo u t h o w m u c hm ore m o n eyyo u n ee d , yo u c an u se t h ee q u a t i o n -1 = -5 + x , w h ere x$ is the amount of money you need. Solving this equation tells you that you need $4 more dollars.
