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To solve the equation [tex]\(\frac{x}{6} = 8\)[/tex] for the variable [tex]\(x\)[/tex], follow these steps:
1. Understand the equation: The given equation [tex]\(\frac{x}{6} = 8\)[/tex] states that [tex]\(x\)[/tex] divided by 6 equals 8.
2. Isolate the variable [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], we need to eliminate the fraction. This can be done by multiplying both sides of the equation by 6.
The reason we multiply by 6 is to cancel out the denominator on the left-hand side of the equation.
3. Multiply both sides by 6: [tex]\[
\left(\frac{x}{6}\right) \times 6 = 8 \times 6
\][/tex]
4. Simplify the equation: On the left-hand side: [tex]\[
\left(\frac{x}{6}\right) \times 6 = x
\][/tex] since [tex]\(6\)[/tex] in the numerator and denominator cancels each other out.
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