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Solve for 
x.

(x-6)/(4)=(x+9)/(3)
Answer:

Solve for x \mathrm{x} .\newlinex64=x+93 \frac{x-6}{4}=\frac{x+9}{3} \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} .\newlinex64=x+93 \frac{x-6}{4}=\frac{x+9}{3} \newlineAnswer:
  1. Eliminate Fractions: First, we need to eliminate the fractions by finding a common denominator or by cross-multiplying.\newlineCross-multiplication gives us:\newline3(x6)=4(x+9)3(x - 6) = 4(x + 9)
  2. Cross-Multiply: Now, distribute the 33 and the 44 to the terms inside the parentheses.3×x3×6=4×x+4×93 \times x - 3 \times 6 = 4 \times x + 4 \times 93x18=4x+363x - 18 = 4x + 36
  3. Distribute Terms: Next, we want to get all the xx terms on one side and the constants on the other side. Let's subtract 3x3x from both sides to move the xx terms to the right.\newline3x183x=4x+363x3x - 18 - 3x = 4x + 36 - 3x\newline18=x+36-18 = x + 36
  4. Move X Terms: Now, subtract 3636 from both sides to isolate xx.\newline1836=x+3636-18 - 36 = x + 36 - 36\newline54=x-54 = x

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