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Solve for 
x.

(4x-8)/(x-1)=(3)/(4)
Answer:

Solve for x \mathrm{x} .\newline4x8x1=34 \frac{4 x-8}{x-1}=\frac{3}{4} \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} .\newline4x8x1=34 \frac{4 x-8}{x-1}=\frac{3}{4} \newlineAnswer:
  1. Cross-multiply fractions: Cross-multiply to eliminate the fractions.\newline(4x8)/(x1)=3/4(4x - 8)/(x - 1) = 3/4\newlineCross-multiplying gives us:\newline4×(4x8)=3×(x1)4 \times (4x - 8) = 3 \times (x - 1)
  2. Distribute numbers: Distribute the numbers on both sides of the equation. 16x32=3x316x - 32 = 3x - 3
  3. Move terms, constants: Move all terms containing xx to one side of the equation and constants to the other side.16x3x=32316x - 3x = 32 - 3
  4. Combine like terms: Combine like terms. 13x=2913x = 29
  5. Divide by 1313: Divide both sides by 1313 to solve for xx.x=2913x = \frac{29}{13}
  6. Simplify fraction: Simplify the fraction (if possible).\newlinex=2.23076923077x = 2.23076923077 (This is the decimal form of 2913\frac{29}{13}, which cannot be simplified further.)

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