Which value of x satisfies the equation (3)/(5)(x-(1)/(4))=-(15)/(4) ? -7 -6 7 6

Write Equation: Write down the equation that needs to be solved. (3/5)(x - 1/4) = -15/4Eliminate Fraction: To isolate x, we first need to get rid of the fraction on the left side by multiplying both sides of the equation by the reciprocal of 3/5, which is 5/3. Multiply both sides by 5/3: (5/3) * (3/5)(x - 1/4) = (5/3) * (-15/4)Simplify Equation: Simplify both sides of the equation. On the left side, the 5/3 and 3/5 cancel each other out, leaving us with x - 1/4. On the right side, we multiply the numerators and denominators. x - 1/4 = (5 * -15) / (3 * 4) x - 1/4 = -75 / 12Isolate x: Simplify the fraction on the right side by dividing both the numerator and the denominator by their greatest common divisor, which is 3. x - 1/4 = (-75 / 3) / (12 / 3) x - 1/4 = -25 / 4Combine Fractions: Now, we need to isolate x by adding 1/4 to both sides of the equation. x = -25/4 + 1/4Simplify x: Combine the fractions on the right side by finding a common denominator, which is already 4, and then adding the numerators. x = (-25 + 1) / 4 x = -24 / 4Simplify the fraction on the right side by dividing the numerator by the denominator. x = -24 / 4 x = -6

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Which value of
x satisfies the equation
(3)/(5)(x-(1)/(4))=-(15)/(4) ?

-7

-6
7
6

Which value of $x$ satisfies the equation $\frac{3}{5}\left(x-\frac{1}{4}\right)=-\frac{15}{4}$ ? $\newline$ $-7$ $\newline$ $-6$ $\newline$ $7$ $\newline$ $6$

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Grade 8

Add and subtract three or more integers

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Q. Which value of

x

satisfies the equation

\frac{3}{5}\left(x-\frac{1}{4}\right)=-\frac{15}{4}

\newline

-7

\newline

-6

\newline

7

\newline

6

Write Equation: Write down the equation that needs to be solved. $\newline$ $(\frac{3}{5})(x - \frac{1}{4}) = -\frac{15}{4}$
Eliminate Fraction: To isolate $x$ , we first need to get rid of the fraction on the left side by multiplying both sides of the equation by the reciprocal of $\frac{3}{5}$ , which is $\frac{5}{3}$ .
Multiply both sides by $\frac{5}{3}$ :
\left(\frac{$5$}{$3$}\right) \times \left(\frac{$3$}{$5$}\right)(x - \frac{$1$}{$4$}) = \left(\frac{$5$}{$3$}\right) \times \left(-\frac{$15$}{$4$}\right)
Simplify Equation: Simplify both sides of the equation. On the left side, the \(\frac{5}{3} and $\frac{3}{5}$ cancel each other out, leaving us with $x - \frac{1}{4}$ . On the right side, we multiply the numerators and denominators. $\newline$ $x - \frac{1}{4} = \frac{(5 \times -15)}{(3 \times 4)}$ $\newline$ $x - \frac{1}{4} = \frac{-75}{12}$
Isolate $x$ : Simplify the fraction on the right side by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ $x - \frac{1}{4} = \frac{-75 / 3}{12 / 3}$ $\newline$ $x - \frac{1}{4} = -\frac{25}{4}$
Combine Fractions: Now, we need to isolate $x$ by adding $\frac{1}{4}$ to both sides of the equation. $\newline$ $x = -\frac{25}{4} + \frac{1}{4}$
Simplify $x$ : Combine the fractions on the right side by finding a common denominator, which is already $4$ , and then adding the numerators. $\newline$ $x = (-25 + 1) / 4$ $\newline$ $x = -24 / 4$
Simplify $x$ : Combine the fractions on the right side by finding a common denominator, which is already $4$ , and then adding the numerators. $\newline$ $x = (-25 + 1) / 4$ $\newline$ $x = -24 / 4$ Simplify the fraction on the right side by dividing the numerator by the denominator. $\newline$ $x = -24 / 4$ $\newline$ $x = -6$