Solve for x. (5)/(3)-(1)/(3x)=2 Answer: x=

Combine fractions with common denominator: Combine the fractions on the left side of the equation by finding a common denominator. Since the denominators are already the same (3 and 3x), we can combine the fractions by multiplying the numerator of the second fraction by x to have the same denominator. (5/3) - (x/3x) = 2Simplify left side of equation: Simplify the left side of the equation. Combine the fractions over the common denominator 3x. (5x - 1)/(3x) = 2Multiply by 3x to eliminate fraction: Multiply both sides of the equation by 3x to eliminate the fraction. (5x - 1)/(3x) * 3x = 2 * 3x 5x - 1 = 6xIsolate variable x: Subtract 5x from both sides to isolate the variable x on one side. 5x - 1 - 5x = 6x - 5x -1 = x

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Solve for
x.

(5)/(3)-(1)/(3x)=2
Answer:
x=

Solve for $x$ . $\newline$ $\frac{5}{3}-\frac{1}{3 x}=2$ $\newline$ Answer: $x=$

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Math Problems

Grade 8

Solve equations with the distributive property

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Q. Solve for

x

\newline

\frac{5}{3}-\frac{1}{3 x}=2

\newline

Answer:

x=

Combine fractions with common denominator: Combine the fractions on the left side of the equation by finding a common denominator. $\newline$ Since the denominators are already the same $3$ and $3x$ , we can combine the fractions by multiplying the numerator of the second fraction by $x$ to have the same denominator. $\newline$ $\frac{5}{3}$ - $\frac{x}{3x}$ = $2$
Simplify left side of equation: Simplify the left side of the equation. $\newline$ Combine the fractions over the common denominator $3x$ . $\newline$ $\frac{5x - 1}{3x} = 2$
Multiply by $3x$ to eliminate fraction: Multiply both sides of the equation by $3x$ to eliminate the fraction. $\newline$ $\frac{5x - 1}{3x} \times 3x = 2 \times 3x$ $\newline$ $5x - 1 = 6x$
Isolate variable $x$ : Subtract $5x$ from both sides to isolate the variable $x$ on one side. $\newline$ $5x - 1 - 5x = 6x - 5x$ $\newline$ $-1 = x$