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QuestionMathematics

Solve the one-step equation: \frac{2}{3} x= 10
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Answer

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Step 1:
I'll solve this one-step equation step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Identify the equation

We have the equation $$\frac{2}{3}x = 10

Step 3:
: Isolate the variable x

\frac{3}{2} \cdot \frac{2}{3}x = \frac{3}{2} \cdot 10

Step 4:
: Simplify the left side of the equation

\frac{3}{2} \cdot \frac{2}{3}x = x

Step 5:
: Simplify the right side of the equation

x = \frac{3}{2} \cdot 10

Step 6:
: Calculate the final value

x = \frac{3}{2} \cdot 10 = \frac{30}{2} = 15

Final Answer

Verification: Let's check our solution by plugging 15 back into the original equation: \frac{2}{3} \cdot 15 = 10 \quad \checkmark