College

Solve for [tex] x [/tex].

[tex] -7x = 28 [/tex]

Choose the correct answer below.

A. [tex] -196 [/tex]
B. [tex] 196 [/tex]
C. [tex] -4 [/tex]
D. [tex] 4 [/tex]

Answer :

Let's solve the equation [tex]\(-7x = 28\)[/tex] step-by-step:

1. Identify the equation: We have [tex]\(-7x = 28\)[/tex].
2. Isolate the variable: To solve for [tex]\(x\)[/tex], we need to get [tex]\(x\)[/tex] by itself on one side of the equation. We do this by dividing both sides of the equation by [tex]\(-7\)[/tex], the coefficient of [tex]\(x\)[/tex].

[tex]\[
x = \frac{28}{-7}
\][/tex]

3. Perform the division: When we divide 28 by [tex]\(-7\)[/tex], we get [tex]\(-4\)[/tex].

So, the solution is [tex]\(x = -4\)[/tex].

Therefore, the correct answer is C. -4.