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In Mathematics / College | 2025-07-07

Solve the equation for the given variable:

[tex]8 x=16[/tex]

If your answer is a fraction, write it in fraction form and reduce it completely. Do NOT convert to decimals.
Answer: [tex]x=[/tex] $\square$

Asked by adriannavega1996

Answer (1)

Divide both sides of the equation by 8: 8 8 x ​ = 8 16 ​ .
Simplify the equation: x = 8 16 ​ .
Reduce the fraction: x = 2 .
The solution is: 2 ​

Explanation

Understanding the Problem We are given the equation 8 x = 16 and our goal is to find the value of x that satisfies this equation.

Isolating x To isolate x , we need to divide both sides of the equation by the coefficient of x , which is 8. This gives us: 8 8 x ​ = 8 16 ​

Simplifying the Fraction Now, we simplify the equation: x = 8 16 ​ x = 2


Examples
Imagine you're sharing 16 cookies equally among 8 friends. The equation 8 x = 16 helps you determine how many cookies each friend receives. In this case, x represents the number of cookies per friend. Solving the equation, you find that each friend gets 2 cookies. This concept applies to various real-life scenarios, such as distributing resources, calculating unit prices, or dividing tasks equally.

Answered by GinnyAnswer | 2025-07-07

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