Question

-4x - 7 = 6x - 21(1 point)Responses X = 1.2x = 1.2x = -14x = -14x = -2.8x = -2.8x = 1.4

Answer 1

Let's solve the equation step-by-step:

The given equation is:

\[
-4x - 7 = 6x - 21
\]

1. First, we'll add \(4x\) to both sides of the equation:

\[
-7 = 6x + 4x - 21
\]

This simplifies to:

\[
-7 = 10x - 21
\]

2. Next, we add \(21\) to both sides:

\[
-7 + 21 = 10x
\]

This simplifies to:

\[
14 = 10x
\]

3. Finally, we'll divide both sides by \(10\):

\[
x = \frac{14}{10} = 1.4
\]

Therefore, the solution is:

\[
x = 1.4
\]