Which value of x satisfies the equation (3)/(5)(x-(1)/(3))=-(13)/(5) ? 5 4 -5 -4

Isolate variable x: First, we need to isolate the variable x by getting rid of the fraction on the left side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of the fraction (3/5), which is (5/3).Multiply by reciprocal: Multiply both sides of the equation by (5/3) to cancel out the (3/5) on the left side. (5/3) * (3/5)(x - (1/3)) = (5/3) * -(13/5)Simplify left side: Simplify both sides of the equation. On the left side, (5/3) and (3/5) cancel each other out, leaving us with x - (1/3). On the right side, (5/3) and (13/5) multiply together. x - (1/3) = -(13/5) * (5/3)Perform multiplication: Perform the multiplication on the right side of the equation. x - (1/3) = -(13/5) * (5/3) = -13/3Isolate x: Now, we need to isolate x by adding (1/3) to both sides of the equation. x - (1/3) + (1/3) = -13/3 + (1/3)Combine like terms: Simplify both sides of the equation by combining like terms. x = -13/3 + 1/3Combine fractions: Combine the fractions on the right side of the equation. x = (-13 + 1)/3Perform subtraction: Perform the subtraction in the numerator. x = -12/3Simplify fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3. x = -12/3 = -4

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Which value of
x satisfies the equation
(3)/(5)(x-(1)/(3))=-(13)/(5) ?
5
4

-5

-4

Which value of $x$ satisfies the equation $\frac{3}{5}\left(x-\frac{1}{3}\right)=-\frac{13}{5}$ ? $\newline$ $5$ $\newline$ $4$ $\newline$ $-5$ $\newline$ $-4$

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Algebra 1

Evaluate integers raised to rational exponents

Full solution

Q. Which value of

x

satisfies the equation

\frac{3}{5}\left(x-\frac{1}{3}\right)=-\frac{13}{5}

\newline

5

\newline

4

\newline

-5

\newline

-4

Isolate variable $x$ : First, we need to isolate the variable $x$ by getting rid of the fraction on the left side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of the fraction $\frac{3}{5}$ , which is $\frac{5}{3}$ .
Multiply by reciprocal: Multiply both sides of the equation by $(\frac{5}{3})$ to cancel out the $(\frac{3}{5})$ on the left side. $\newline$ $(\frac{5}{3}) \times (\frac{3}{5})(x - (\frac{1}{3})) = (\frac{5}{3}) \times -(\frac{13}{5})$
Simplify left side: Simplify both sides of the equation. On the left side, $(\frac{5}{3})$ and $(\frac{3}{5})$ cancel each other out, leaving us with $x - (\frac{1}{3})$ . On the right side, $(\frac{5}{3})$ and $(\frac{13}{5})$ multiply together. $\newline$ $x - (\frac{1}{3}) = -(\frac{13}{5}) \times (\frac{5}{3})$
Perform multiplication: Perform the multiplication on the right side of the equation. $x - \left(\frac{1}{3}\right) = -\left(\frac{13}{5}\right) \times \left(\frac{5}{3}\right) = -\frac{13}{3}$
Isolate x: Now, we need to isolate x by adding $(1/3)$ to both sides of the equation. $\newline$ $x - (1/3) + (1/3) = -13/3 + (1/3)$
Combine like terms: Simplify both sides of the equation by combining like terms. $x = -\frac{13}{3} + \frac{1}{3}$
Combine fractions: Combine the fractions on the right side of the equation. $x = \frac{-13 + 1}{3}$
Perform subtraction: Perform the subtraction in the numerator. $x = \frac{-12}{3}$
Simplify fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $x = \frac{-12}{3} = -4$