9 answers
To solve the equation \(-7x = 14\) for \(x\), you can divide both sides of the equation by \(-7\).
So, the equation becomes:
\[ x = \frac{14}{-7} \]
This simplifies to:
\[ x = -2 \]
Therefore, you should divide both sides of the equation by \(-7\) to solve for \(x\).
To solve the equation \(\frac{x}{-5} = -6\) for \(x\), you can multiply both sides of the equation by \(-5\).
The equation becomes:
\[ x = -6 \times -5 \]
This simplifies to:
\[ x = 30 \]
Therefore, you should multiply both sides of the equation by \(-5\) to solve for \(x\).
To find the value of \(8x\) given that \(2x = -4\), we can first solve for \(x\).
Starting with the equation:
\[ 2x = -4 \]
Divide both sides by \(2\):
\[ x = \frac{-4}{2} = -2 \]
Now, we can find \(8x\) by multiplying \(x\) by \(8\):
\[ 8x = 8 \times (-2) = -16 \]
Thus, the value of \(8x\) is \(-16\).
To solve the equation \(-8x = -0.56\), you can divide both sides by \(-8\):
\[ x = \frac{-0.56}{-8} \]
Since dividing a negative number by a negative number results in a positive number, this simplifies to:
\[ x = \frac{0.56}{8} \]
Calculating that:
\[ x = 0.07 \]
Thus, the solution of the equation \(-8x = -0.56\) is
\[ x = 0.07. \]
To solve the equation \(\frac{4}{3}x = -\frac{6}{5}\), you can isolate \(x\) by multiplying both sides of the equation by the reciprocal of \(\frac{4}{3}\), which is \(\frac{3}{4}\):
\[ x = -\frac{6}{5} \cdot \frac{3}{4} \]
Now, perform the multiplication:
\[ x = -\frac{6 \cdot 3}{5 \cdot 4} = -\frac{18}{20} \]
Next, simplify \(-\frac{18}{20}\):
\[ x = -\frac{9}{10} \]
Thus, the solution of the equation \(\frac{4}{3}x = -\frac{6}{5}\) is
\[ x = -\frac{9}{10}. \]
