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34(x+8)=9\frac{3}{4}(x+8)=9

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Full solution

Q. 34(x+8)=9\frac{3}{4}(x+8)=9
  1. Multiply by Reciprocal: First, we need to isolate the variable xx by getting rid of the fraction. To do this, we multiply both sides of the equation by the reciprocal of 34\frac{3}{4}, which is 43\frac{4}{3}.
    34(x+8)=9\frac{3}{4}(x+8) = 9
    (43)×(34)(x+8)=9×(43)\left(\frac{4}{3}\right) \times \left(\frac{3}{4}\right)(x+8) = 9 \times \left(\frac{4}{3}\right)
  2. Simplify Left Side: Now, we simplify the left side by canceling out the 34\frac{3}{4} with 43\frac{4}{3}. \newline(43)∗(34)(x+8)=9∗(43)\left(\frac{4}{3}\right) * \left(\frac{3}{4}\right)(x+8) = 9 * \left(\frac{4}{3}\right)\newline1(x+8)=3631(x+8) = \frac{36}{3}\newlinex+8=12x+8 = 12
  3. Isolate Variable xx: Next, we need to isolate xx by subtracting 88 from both sides of the equation.x+8−8=12−8x + 8 - 8 = 12 - 8x=4x = 4

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