Question

slove x

20x-5(6x+15)=-45

Answer 1

To solve the equation \( 20x - 5(6x + 15) = -45 \), we will start by distributing the \(-5\) through the parentheses.

1. Distribute \(-5\):
\[
20x - 5 \cdot 6x - 5 \cdot 15 = -45
\]
This simplifies to:
\[
20x - 30x - 75 = -45
\]

2. Combine like terms:
\[
(20x - 30x) - 75 = -45
\]
\[
-10x - 75 = -45
\]

3. Add \(75\) to both sides:
\[
-10x - 75 + 75 = -45 + 75
\]
\[
-10x = 30
\]

4. Divide by \(-10\):
\[
x = \frac{30}{-10}
\]
\[
x = -3
\]

Thus, the solution is:
\[
\boxed{-3}
\]