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Solve for x. (x-9)/(6)=(x-6)/(7) Answer:

Solve for x \mathrm{x} .\newlinex−96=x−67 \frac{x-9}{6}=\frac{x-6}{7} \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} .\newlinex−96=x−67 \frac{x-9}{6}=\frac{x-6}{7} \newlineAnswer:
  1. Cross-Multiply: First, we will cross-multiply to eliminate the fractions.\newline(7)(x−9)=(6)(x−6)(7)(x - 9) = (6)(x - 6)
  2. Distribute Terms: Now, distribute 77 into (x−9)(x - 9) and 66 into (x−6)(x - 6). \newline7x−63=6x−367x - 63 = 6x - 36
  3. Isolate Variable: Next, we will isolate the variable xx by moving all xx terms to one side and constants to the other side.7x−6x=−36+637x - 6x = -36 + 63
  4. Simplify Equation: Simplify both sides of the equation. x=27x = 27

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