Solve for x. (4x+9)/(x-2)=(3)/(5) Answer:

Cross-multiply fractions: Cross-multiply to eliminate the fractions. (4x + 9) * 5 = 3 * (x - 2)Distribute multiplication over addition: Distribute the multiplication over addition on both sides. 20x + 45 = 3x - 6Move terms and constants: Move all terms containing x to one side and constant terms to the other side. 20x - 3x = -6 - 45Combine like terms: Combine like terms. 17x = -51Divide by 17: Divide both sides by 17 to solve for x. x = -51 / 17Calculate x value: Calculate the value of x. x = -3

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

\mathrm{x}

\newline

\frac{4 x+9}{x-2}=\frac{3}{5}

\newline

Answer:

Cross-multiply fractions: Cross-multiply to eliminate the fractions. $\newline$ $(4x + 9) \times 5 = 3 \times (x - 2)$
Distribute multiplication over addition: Distribute the multiplication over addition on both sides. $\newline$ $20x + 45 = 3x - 6$
Move terms and constants: Move all terms containing $x$ to one side and constant terms to the other side. $20x - 3x = -6 - 45$
Combine like terms: Combine like terms. $\newline$ $17x = -51$
Divide by $17$ : Divide both sides by $17$ to solve for $x$ . $x = \frac{-51}{17}$
Calculate x value: Calculate the value of $x$ . $x = -3$