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Solve for
x.

(5x-1)/(8)=(5x+7)/(9)
Answer:

Solve for $\mathrm{x}$ . $\newline$ $\frac{5 x-1}{8}=\frac{5 x+7}{9}$ $\newline$ Answer:

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Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

\mathrm{x}

.

\newline

\frac{5 x-1}{8}=\frac{5 x+7}{9}

\newline

Answer:

Cross-multiply fractions: Cross-multiply to eliminate the fractions. $\newline$ $(5x - 1) \times 9 = (5x + 7) \times 8$
Distribute numbers: Distribute the numbers on both sides. $\newline$ $45x - 9 = 40x + 56$
Move terms: Move all terms containing $x$ to one side and constant terms to the other side. $45x - 40x = 56 + 9$
Combine like terms: Combine like terms. $\newline$ $5x = 65$
Divide to solve: Divide both sides by $5$ to solve for $x$ . $x = \frac{65}{5}$
Calculate value: Calculate the value of $x$ . $x = 13$

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