solve using the multiplication principle. don't forget to perform a check.

12x=-96
the solution is x=

The objective of the multiplication principle is to isolate the variable (x in this case) so that the coefficient of the variable is one (unity). Then the right hand side will be the value of x sought.

Typically, when both sides of the equation contain only one term, as is the case here, we would multiply both sides by the reciprocal of the coefficient of the variable, (1/12) in the present case to reduce the coefficient to one.
For
5x=15
we multiply both sides by the reciprocal of 5 to give
(1/5)*5x = (1/5)*15
x = 3
For more explanations and examples, see:
http://www.jamesbrennan.org/algebra/intro%20to%20algebra/multiplication_principle.htm

Thank you very much! Sike! Haha

To solve the equation 12x = -96 using the multiplication principle, we need to divide both sides of the equation by 12. This will isolate the variable x.

12x / 12 = -96 / 12

Simplifying, we get:

x = -8

To perform a check, we substitute the value of x back into the original equation:

12(-8) = -96

-96 = -96

Since the equation is true, x = -8 is the correct solution.

To solve the equation 12x = -96 using the multiplication principle, we need to isolate the variable x on one side of the equation.

Step 1: Divide both sides of the equation by 12
12x/12 = -96/12

Simplifying, we have:
x = -8

Now, let's perform a check to verify if x=-8 is indeed the solution to the equation.

Step 2: Substituting x = -8 back into the original equation
12(-8) = -96

Simplifying, we have:
-96 = -96

Since both sides of the equation are equal, we can conclude that x = -8 is the correct solution.