Solve for x. (9)/(3x)=(4)/(x+2)

Write Equation: Write down the equation. (9)/(3x) = (4)/(x+2)Cross Multiply: Cross multiply to eliminate the fractions. 9 * (x + 2) = 4 * (3x)Distribute Numbers: Distribute the numbers on both sides. 9x + 18 = 12xMove Terms: Move all terms containing x to one side of the equation. 9x - 12x = -18Combine Terms: Combine like terms. -3x = -18Divide and Solve: Divide both sides by -3 to solve for x. x = (-18) / (-3)Calculate Value: Calculate the value of x. x = 6

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Solve for $x$ . $\newline$ $\frac{9}{3 x}=\frac{4}{x+2}$

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Algebra 2

Add and subtract polynomials

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Q. Solve for

x

\newline

\frac{9}{3 x}=\frac{4}{x+2}

Write Equation: Write down the equation. $\newline$ $\frac{9}{3x} = \frac{4}{x+2}$
Cross Multiply: Cross multiply to eliminate the fractions. $\newline$ $9 \times (x + 2) = 4 \times (3x)$
Distribute Numbers: Distribute the numbers on both sides. $9x + 18 = 12x$
Move Terms: Move all terms containing $x$ to one side of the equation. $\newline$ $9x - 12x = -18$
Combine Terms: Combine like terms. $\newline$ $-3x = -18$
Divide and Solve: Divide both sides by $-3$ to solve for $x$ . $x = \frac{-18}{-3}$
Calculate Value: Calculate the value of $x$ . $x = 6$