Solve for $x$ in the equation $x+10=15$.
A. $x=10$
B. $x=-5$
C. $x=5$
D. $x=25
Answer (2)
Subtract 10 from both sides of the equation x + 10 = 15 .
Simplify the equation to find x = 15 − 10 .
Calculate the value of x , which is x = 5 .
The solution to the equation is 5 .
Explanation
Understanding the problem We are given the equation x + 10 = 15 and we need to find the value of x that satisfies this equation.
Isolating x To isolate x , we need to subtract 10 from both sides of the equation: x + 10 − 10 = 15 − 10
Solving for x Simplifying both sides, we get: x = 5
Selecting the correct answer Now we compare our solution x = 5 with the given options. Option A is x = 10 , option B is x = − 5 , option C is x = 5 , and option D is x = 25 . The correct answer is x = 5 , which corresponds to option C.
Examples
Imagine you're at a store and want to buy an item that costs $15. You have 10 in yo u r p oc k e t . T h ee q u a t i o n x + 10 = 15 h e lp syo u d e t er min e h o w m u c hm ore m o n ey ( x$) you need to buy the item. Solving this equation tells you that you need an additional $5.
To solve the equation x + 10 = 15 , we subtract 10 from both sides to find that x = 5 . The correct answer is option C, x = 5 . We verified our solution by checking that it satisfies the original equation.
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