Which value of x satisfies the equation (4)/(5)(x+(3)/(5))=(52)/(25) ? -2 1 -1 2

Solve Equation: First, we need to solve the equation (4/5)(x+(3/5))=(52/25) for x.Multiply by 5/4: Multiply both sides of the equation by 5/4 to isolate the term with x. (5/4)*(4/5)(x+(3/5)) = (5/4)*(52/25)Simplify Equation: Simplify both sides of the equation. x + (3/5) = (5*52)/(4*25)Calculate Right Side: Calculate the right side of the equation. x + (3/5) = 260/100Simplify Fraction: Simplify the fraction on the right side of the equation. x + (3/5) = 26/10Subtract (3/5): Further simplify the fraction on the right side of the equation. x + (3/5) = 13/5Combine Fractions: Subtract (3/5) from both sides of the equation to solve for x. x = (13/5) - (3/5)Calculate Final Value: Combine the fractions on the right side of the equation. x = (13 - 3)/5Simplify Fraction: Calculate the final value of x. x = 10/5Simplify the fraction to find the value of x. x = 2

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Q. Which value of

x

satisfies the equation

\frac{4}{5}\left(x+\frac{3}{5}\right)=\frac{52}{25}

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-2

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1

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-1

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2

Solve Equation: First, we need to solve the equation $(\frac{4}{5})(x+(\frac{3}{5}))=(\frac{52}{25})$ for $x$ .
Multiply by $\frac{5}{4}$ : Multiply both sides of the equation by $\frac{5}{4}$ to isolate the term with $x$ .\left(\frac{$5$}{$4$}\right)\left(\frac{$4$}{$5$}\right)(x+\left(\frac{$3$}{$5$}\right)) = \left(\frac{$5$}{$4$}\right)\left(\frac{$52$}{$25$}\right)
Simplify Equation: Simplify both sides of the equation. \(x + \left(\frac{3}{5}\right) = \left(\frac{5\times52}{4\times25}\right)
Calculate Right Side: Calculate the right side of the equation. $x + \left(\frac{3}{5}\right) = \frac{260}{100}$
Simplify Fraction: Simplify the fraction on the right side of the equation. $x + \frac{3}{5} = \frac{26}{10}$
Subtract (\frac{$3$}{$5$}): Further simplify the fraction on the right side of the equation.\[x + \left(\frac{3}{5}\right) = \frac{13}{5}\]
Combine Fractions: Subtract \((\frac{3}{5}) from both sides of the equation to solve for $x$ . $x = \left(\frac{13}{5}\right) - \left(\frac{3}{5}\right)$
Calculate Final Value: Combine the fractions on the right side of the equation. $x = \frac{13 - 3}{5}$
Simplify Fraction: Calculate the final value of $x$ . $x = \frac{10}{5}$
Simplify Fraction: Calculate the final value of $x$ . $x = \frac{10}{5}$ Simplify the fraction to find the value of $x$ . $x = 2$