Question

solve for x.
\\(-\dfrac{2}{7} = \dfrac{12}{x}\\)

Explanation:

Step1: Cross - multiply the equation

To solve for \(x\) in the equation \(-\frac{2}{7}=\frac{12}{x}\), we can use cross - multiplication. Cross - multiplication states that if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). Applying this to our equation, we get \(-2\times x=7\times12\).

Step2: Simplify and solve for \(x\)

First, simplify the right - hand side of the equation: \(7\times12 = 84\). So our equation becomes \(-2x = 84\). To solve for \(x\), we divide both sides of the equation by \(-2\). That is, \(x=\frac{84}{-2}\).
Calculating \(\frac{84}{-2}\), we get \(x=- 42\).

Answer:

\(x = - 42\)