Solve for x.
0.2x = 124
Answer (2)
Divide both sides of the equation 0.2 x = 124 by 0.2 to isolate x .
Simplify the fraction 0.2 124 by multiplying both numerator and denominator by 10, resulting in 2 1240 .
Perform the division: x = 2 1240 = 620 .
The solution to the equation is 620 .
Explanation
Understanding the Problem We are given the equation 0.2 x = 124 and asked to solve for x . This is a simple linear equation.
Isolating x To solve for x , we need to isolate x on one side of the equation. We can do this by dividing both sides of the equation by 0.2 .
Performing the Division Dividing both sides by 0.2 , we get: 0.2 0.2 x = 0.2 124 x = 0.2 124
Simplifying the Fraction To simplify the fraction, we can multiply both the numerator and the denominator by 10 to remove the decimal: x = 0.2 × 10 124 × 10 = 2 1240
Calculating the Value of x Now, we can divide 1240 by 2: x = 2 1240 = 620
Final Answer Therefore, the solution to the equation 0.2 x = 124 is x = 620 .
Examples
Imagine you're buying a discounted item. If an item's price is reduced by 20% (or 0.2 times its original price) and the discount amount is 124 , yo u c an u se t hi se q u a t i o n t o f in d t h eor i g ina lp r i ceo f t h e i t e m . S o l v in g f or x$ helps you determine the initial cost before the discount was applied. This is useful in everyday shopping scenarios to understand the true value of discounts and make informed purchasing decisions.
To solve the equation 0.2 x = 124 , divide both sides by 0.2 to get x = 0.2 124 . By simplifying this, we find that x = 620 . Therefore, the solution is x = 620 .
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