Write Equation: We start by writing down the equation: (x)/(5) + 2 = (x)/(3)Move X Terms: To solve for x, we need to get all the x terms on one side and the constants on the other. Let's subtract (x)/(5) from both sides to move the x terms to one side: (x)/(5) - (x)/(5) + 2 = (x)/(3) - (x)/(5)Simplify Left Side: Simplifying the left side of the equation, we get: 2 = (x)/(3) - (x)/(5)Common Denominator: To combine the x terms on the right, we need a common denominator. The least common multiple of 3 and 5 is 15, so we'll convert both fractions to have a denominator of 15: 2 = (5x)/(15) - (3x)/(15)Combine X Terms: Now that we have a common denominator, we can combine the x terms: 2 = (5x - 3x)/(15)Simplify Numerator: Simplify the numerator: 2 = (2x)/(15)Multiply by 15: To solve for x, we need to get rid of the denominator. We can do this by multiplying both sides of the equation by 15: 15 * 2 = 15 * (2x)/(15)Divide by 2: Multiplying both sides by 15, we get: 30 = 2xFind Value of X: Now, we divide both sides by 2 to solve for x: 30 / 2 = 2x / 2Simplifying both sides, we find the value of x: 15 = x

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$\frac{x}{5}+2=\frac{x}{3}$

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Algebra 1

Evaluate integers raised to rational exponents

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\frac{x}{5}+2=\frac{x}{3}

Write Equation: We start by writing down the equation: $\frac{x}{5} + 2 = \frac{x}{3}$
Move X Terms: To solve for $x$ , we need to get all the $x$ terms on one side and the constants on the other. Let's subtract $\frac{x}{5}$ from both sides to move the $x$ terms to one side: $\newline$ $\frac{x}{5} - \frac{x}{5} + 2 = \frac{x}{3} - \frac{x}{5}$
Simplify Left Side: Simplifying the left side of the equation, we get: $2 = \frac{x}{3} - \frac{x}{5}$
Common Denominator: To combine the $x$ terms on the right, we need a common denominator. The least common multiple of $3$ and $5$ is $15$ , so we'll convert both fractions to have a denominator of $15$ : $2 = \frac{5x}{15} - \frac{3x}{15}$
Combine $X$ Terms: Now that we have a common denominator, we can combine the $x$ terms: $\newline$ $2 = \frac{5x - 3x}{15}$
Simplify Numerator: Simplify the numerator: $2 = \frac{2x}{15}$
Multiply by $15$ : To solve for $x$ , we need to get rid of the denominator. We can do this by multiplying both sides of the equation by $15$ : $15 \times 2 = 15 \times \frac{2x}{15}$
Divide by $2$ : Multiplying both sides by $15$ , we get: $30 = 2x$
Find Value of X: Now, we divide both sides by $2$ to solve for x: $\newline$ $\frac{30}{2} = \frac{2x}{2}$
Find Value of X: Now, we divide both sides by $2$ to solve for $x$ : $\frac{30}{2} = \frac{2x}{2}$ Simplifying both sides, we find the value of $x$ : $15 = x$