Question

solve $-7x = 56$.\
$x = $___

Explanation:

Step1: Divide both sides by -7

To solve for \( x \) in the equation \( -7x = 56 \), we divide both sides of the equation by \( -7 \). This is based on the division property of equality, which states that if we divide both sides of an equation by the same non - zero number, the equality still holds.

The operation is \( x=\frac{56}{-7} \)

Step2: Calculate the result

We know that \( 56\div7 = 8 \), and since one of the numbers in the division \( \frac{56}{-7} \) is negative, the result will be negative. So \( \frac{56}{-7}=-8 \)

Answer:

\( x = - 8 \)