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Solve for xx: 15=−53x15 = -\frac{5}{3}x\newline

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Full solution

Q. Solve for xx: 15=−53x15 = -\frac{5}{3}x\newline
  1. Isolate variable x: Isolate the variable xx on one side of the equation.\newlineTo do this, we need to get rid of the fraction by multiplying both sides of the equation by the reciprocal of −53-\frac{5}{3}, which is −35-\frac{3}{5}.\newlineCalculation: 15×(−35)=−(53)x×(−35)15 \times (-\frac{3}{5}) = -\left(\frac{5}{3}\right)x \times (-\frac{3}{5})
  2. Perform multiplication: Perform the multiplication on both sides.\newlineOn the left side, 1515 multiplied by −35-\frac{3}{5} equals −9-9.\newlineOn the right side, the −53-\frac{5}{3} and −35-\frac{3}{5} cancel each other out, leaving us with xx.\newlineCalculation: −9=x-9 = x
  3. Write solution set: Write the solution set.\newlineThe solution set is the value of xx that satisfies the equation. Since we have found that xx equals −9-9, the solution set is {−9}\{-9\}.

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