Solve for x. (x+6)/(x-5)=(4)/(3) Answer:

Set up equation: Set up the equation from the given problem. We are given the equation (x+6)/(x-5) = 4/3. We need to solve for x.Cross-multiply: Cross-multiply to eliminate the fractions. Cross-multiplying gives us 3(x + 6) = 4(x - 5).Distribute numbers: Distribute the numbers on both sides of the equation. 3(x) + 3(6) = 4(x) - 4(5) This simplifies to 3x + 18 = 4x - 20.Move terms: Move the variable terms to one side and the constant terms to the other side. Subtract 3x from both sides to get the x terms on one side: 3x + 18 - 3x = 4x - 20 - 3x This simplifies to 18 = x - 20.Isolate x: Isolate x by adding 20 to both sides of the equation. 18 + 20 = x - 20 + 20 This simplifies to 38 = x.

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Solve for
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(x+6)/(x-5)=(4)/(3)
Answer:

Solve for $\mathrm{x}$ . $\newline$ $\frac{x+6}{x-5}=\frac{4}{3}$ $\newline$ Answer:

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Full solution

Q. Solve for

\mathrm{x}

\newline

\frac{x+6}{x-5}=\frac{4}{3}

\newline

Answer:

Set up equation: Set up the equation from the given problem. $\newline$ We are given the equation $(x+6)/(x-5) = 4/3$ . We need to solve for $x$ .
Cross-multiply: Cross-multiply to eliminate the fractions. $\newline$ Cross-multiplying gives us $3(x + 6) = 4(x - 5)$ .
Distribute numbers: Distribute the numbers on both sides of the equation. $\newline$ $3(x) + 3(6) = 4(x) - 4(5)$ $\newline$ This simplifies to $3x + 18 = 4x - 20$ .
Move terms: Move the variable terms to one side and the constant terms to the other side. $\newline$ Subtract $3x$ from both sides to get the $x$ terms on one side: $\newline$ $3x + 18 - 3x = 4x - 20 - 3x$ $\newline$ This simplifies to $18 = x - 20$ .
Isolate x: Isolate x by adding $20$ to both sides of the equation. $\newline$ $18 + 20 = x - 20 + 20$ $\newline$ This simplifies to $38 = x$ .