.  ​5(2x−8)=−30

1 answer

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

  1. Distribute the 5 on the left side: \[ 10x - 40 = -30 \]

  2. Add 40 to both sides of the equation to isolate the term with \( x \): \[ 10x - 40 + 40 = -30 + 40 \] \[ 10x = 10 \]

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

So, the solution is \( x = 1 \).