Question

solve the equation and check the solution.
-8.4x = 50.4

x = \square

Explanation:

Step1: Isolate x by dividing both sides

To solve for \( x \) in the equation \( -8.4x = 50.4 \), we divide both sides of the equation by \( -8.4 \). This gives us the formula:

$$ x=\frac{50.4}{-8.4} $$

Step2: Perform the division

Calculating the division \( \frac{50.4}{-8.4} \), we know that \( 50.4\div8.4 = 6 \), and since one of the numbers is negative, the result is negative. So \( x=-6 \).

Step3: Check the solution

Substitute \( x = -6 \) back into the original equation:
Left - hand side: \( -8.4\times(-6)=50.4 \)
Right - hand side: \( 50.4 \)
Since the left - hand side equals the right - hand side, the solution is correct.

Answer:

\( x=-6 \)