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Solve the following equation. Then place the correct number in the box provided.

[tex]\[ \frac{x}{6} = 3 \][/tex]

[tex]\[ x = \][/tex] ___


Sagot :

To solve the equation [tex]\(\frac{x}{6} = 3\)[/tex], follow these steps:

1. Identify the equation: We start with the equation [tex]\(\frac{x}{6} = 3\)[/tex].

2. Isolate the variable: To find the value of [tex]\(x\)[/tex], we need to get [tex]\(x\)[/tex] by itself on one side of the equation. In this equation, [tex]\(x\)[/tex] is currently divided by 6. To isolate [tex]\(x\)[/tex], we need to eliminate the division by 6.

3. Multiply both sides by 6: To get rid of the denominator (which is 6), multiply both sides of the equation by 6:

[tex]\[ \left(\frac{x}{6}\right) \times 6 = 3 \times 6 \][/tex]

4. Simplify the equation: On the left side, the 6 in the numerator and the 6 in the denominator cancel each other out, leaving:

[tex]\[ x = 18 \][/tex]

5. Conclusion: The solution to the equation [tex]\(\frac{x}{6} = 3\)[/tex] is [tex]\(x = 18\)[/tex].

Thus, place the number 18 in the provided answer box.