Solve for $x$ in the equation $x-4=7$
A) $x=3$
B) $x=-3$
C) $x=11$
D) $x=28$
Answer (1)
Start with the equation x − 4 = 7 .
Add 4 to both sides of the equation: x − 4 + 4 = 7 + 4 .
Simplify the equation to find x = 11 .
The solution is 11 .
Explanation
Understanding the Problem We are given the equation x − 4 = 7 and asked to solve for x . This is a simple linear equation where we need to isolate x on one side of the equation.
Isolating x To isolate x , we need to add 4 to both sides of the equation. This will cancel out the -4 on the left side, leaving us with just x .
Solving for x Adding 4 to both sides, we get:
x − 4 + 4 = 7 + 4
Simplifying, we have:
x = 11
Final Answer Therefore, the solution to the equation x − 4 = 7 is x = 11 .
Examples
Imagine you're buying a toy that costs $7, and you only have 4. T o f i gu reo u t h o w m u c hm ore m o n eyyo u n ee d , yo u so l v e t h ee q u a t i o n x - 4 = 7 , w h ere x i s t h e t o t a l am o u n t yo u n ee d . B y a dd in g 4 t o b o t h s i d es , yo u f in d t ha t x = 11$, meaning you need $11 in total. Since you already have $4, you need an additional $7 to buy the toy. This simple equation helps you determine the missing amount in everyday situations.
