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Solve for 
x in simplest form.

3=(4)/(3)(4x+3)
Answer:

Solve for x \mathrm{x} in simplest form.\newline3=43(4x+3) 3=\frac{4}{3}(4 x+3) \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} in simplest form.\newline3=43(4x+3) 3=\frac{4}{3}(4 x+3) \newlineAnswer:
  1. Understand and Isolate Variable Term: Understand the equation and isolate the term with the variable xx. The equation given is 3=43(4x+3)3 = \frac{4}{3}(4x+3). To isolate the term with xx, we need to get rid of the fraction by multiplying both sides of the equation by the denominator, which is 3(4x+3)3(4x+3).
  2. Multiply by 3(4x+3)3(4x+3): Multiply both sides of the equation by 3(4x+3)3(4x+3).\newline3×3(4x+3)=43(4x+3)×3(4x+3)3 \times 3(4x+3) = \frac{4}{3}(4x+3) \times 3(4x+3)\newlineThis simplifies to:\newline9(4x+3)=49(4x+3) = 4
  3. Distribute 99 on Left Side: Distribute the 99 on the left side of the equation.9×4x+9×3=49 \times 4x + 9 \times 3 = 4This simplifies to:36x+27=436x + 27 = 4
  4. Subtract 2727 to Isolate xx: Subtract 2727 from both sides of the equation to isolate the term with xx.\newline36x+2727=42736x + 27 - 27 = 4 - 27\newlineThis simplifies to:\newline36x=2336x = -23
  5. Divide by 3636: Divide both sides of the equation by 3636 to solve for xx.36x36=2336\frac{36x}{36} = \frac{-23}{36}This simplifies to:x=2336x = \frac{-23}{36}
  6. Simplify Fraction: Simplify the fraction if possible.\newline23-23 and 3636 have no common factors other than 11, so the fraction is already in simplest form.\newlinex=2336x = \frac{-23}{36}

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