Determine whether the equation below is an identity or whether it has no solution. - 4(7x - 3) = - 28x - 12 Choose the correct answer below. O The equation has no solution. O The equation is an identity.
The equation is an identity because it is true for all values of x.
To determine whether the equation -4(7x - 3) = -28x - 12 is an identity or has no solution, we need to simplify it.
First, distribute -4 to the terms inside the parentheses:
-4 * 7x = -28x
-4 * -3 = 12
The equation becomes:
-28x + 12 = -28x - 12
Next, we can simplify the equation by combining like terms:
-28x + 12 + 28x + 12
Simplifying further:
12 = 12
Both sides of the equation are equal, so the equation is an identity. The correct answer is:
O The equation is an identity.