Solve the following linear equation. Click Here for Help Video

Question

−8(5x+15)=7-8\left(5x+15\right)=7−8(5x+15)=7

x=x=x=

(Note: if the answer is an infinite repeating decimal your answer must be in fraction form. So 0.333... = 130.333...\ =\ \frac{1}{3}0.333... =
3
1
​
)

Answer 1

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

1. Distribute \(-8\) on the left side of the equation:

   \[ -8 \cdot 5x - 8 \cdot 15 = -40x - 120 \]

   So the equation becomes:

   \[ -40x - 120 = 7 \]

2. Next, add \(120\) to both sides of the equation:

   \[ -40x - 120 + 120 = 7 + 120 \]

   This simplifies to:

   \[ -40x = 127 \]

3. Now, divide both sides by \(-40\) to solve for \(x\):

   \[ x = \frac{127}{-40} \]

   Thus:

   \[ x = -\frac{127}{40} \]

So, the solution is:

\[ x = -\frac{127}{40} \]