Question

Solve the following linear equation
-8(5x+15)=7
X=

Answer 1

To solve the equation \(-8(5x + 15) = 7\), we will follow these steps:

1. Distribute the -8 on the left side of the equation:
\[
-8 \cdot 5x - 8 \cdot 15 = 7
\]
This simplifies to:
\[
-40x - 120 = 7
\]

2. Next, we will isolate the term with \(x\) by adding 120 to both sides:
\[
-40x - 120 + 120 = 7 + 120
\]
This simplifies to:
\[
-40x = 127
\]

3. Now, divide both sides by -40 to solve for \(x\):
\[
x = \frac{127}{-40}
\]
This can also be written as:
\[
x = -\frac{127}{40}
\]

Thus, the solution to the equation is:
\[
x = -\frac{127}{40}
\]