Solve the following equation for x Express your answer in the simplest form

Question

7(6x - 2) =-84 7(6x - 2)

The equation has

A: no solution

B: Infinitely many solutions

C: one solution ____

Answer 1

Let's solve the equation step by step:

Starting with the equation:

\[ 7(6x - 2) = -84 \]

First, divide both sides by 7 to simplify the equation:

\[ 6x - 2 = -12 \]

Next, add 2 to both sides to isolate the term with \( x \):

\[ 6x = -12 + 2 \] \[ 6x = -10 \]

Now, divide both sides by 6 to solve for \( x \):

\[ x = \frac{-10}{6} \]

To simplify \( \frac{-10}{6} \):

\[ x = \frac{-5}{3} \]

Thus, the solution \( x = -\frac{5}{3} \) indicates that the equation has:

C: one solution \(-\frac{5}{3}\)