Solve for $x$ in the equation $6x=42$.
A. $x=48$
B. $x=7$
C. $x=36$
D. $x=6
Answer (2)
Divide both sides of the equation by 6: 6 6 x = 6 42 .
Simplify the equation: x = 6 42 .
Perform the division: x = 7 .
The solution to the equation is 7 .
Explanation
Understanding the Problem We are given the equation 6 x = 42 and asked to solve for x . This means we need to isolate x on one side of the equation.
Isolating x To isolate x , we can divide both sides of the equation by 6: 6 6 x = 6 42
Performing the Division Simplifying the equation, we get: x = 6 42 Now, we perform the division: x = 7
Final Answer Therefore, the solution to the equation 6 x = 42 is x = 7 .
Examples
Imagine you are buying multiple items of the same price. If you know that 6 identical items cost $42 in total, you can use this equation to find the price of a single item. In this case, each item would cost $7. This type of problem helps in everyday situations like calculating unit prices or splitting costs evenly.
To solve the equation 6 x = 42 , divide both sides by 6, resulting in x = 7 . The answer is x = 7 .
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