Solve for x . ​5(2x−8)=−30 (1 point) x=

Answer 1

To solve the equation \( 5(2x - 8) = -30 \), follow these steps:

1. First, distribute the 5 on the left side of the equation: \[ 5 \cdot 2x - 5 \cdot 8 = -30 \] This simplifies to: \[ 10x - 40 = -30 \]

2. Next, add 40 to both sides to isolate the term with \( x \): \[ 10x - 40 + 40 = -30 + 40 \] Simplifying gives: \[ 10x = 10 \]

3. Now, divide both sides by 10 to solve for \( x \): \[ x = \frac{10}{10} \] Thus: \[ x = 1 \]

Therefore, the solution is: \[ \boxed{1} \]