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Solve for 
x.

(12 )/(x)=-(2)/(5)
Answer:

Solve for x \mathrm{x} .\newline12x=25 \frac{12}{x}=-\frac{2}{5} \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} .\newline12x=25 \frac{12}{x}=-\frac{2}{5} \newlineAnswer:
  1. Multiply to eliminate fraction: To solve for xx, we need to isolate xx on one side of the equation. We can do this by multiplying both sides of the equation by xx to get rid of the fraction on the left side.\newline12x×x=25×x\frac{12}{x} \times x = -\frac{2}{5} \times x\newlineThis simplifies to:\newline12=25×x12 = -\frac{2}{5} \times x
  2. Divide by reciprocal: Now we need to isolate xx by dividing both sides of the equation by 25-\frac{2}{5}. To do this, we multiply both sides by the reciprocal of 25-\frac{2}{5}, which is 52-\frac{5}{2}.\newline12×(52)=x12 \times \left(-\frac{5}{2}\right) = x
  3. Perform multiplication: Next, we perform the multiplication on the left side to find the value of xx.12×(52)=60212 \times (-\frac{5}{2}) = -\frac{60}{2}
  4. Simplify fraction: Finally, we simplify the fraction on the left side to get the value of xx.602=30-\frac{60}{2} = -30So, x=30x = -30.

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