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Solve the equation.

8​(5xminus​2)equals64

1 answer

To solve the equation \( 8(5x - 2) = 64 \), follow these steps:

  1. Distribute the 8:
    \[ 8 \times (5x - 2) = 64 \] This simplifies to: \[ 40x - 16 = 64 \]

  2. Add 16 to both sides:
    \[ 40x - 16 + 16 = 64 + 16 \] Which gives: \[ 40x = 80 \]

  3. Divide both sides by 40:
    \[ x = \frac{80}{40} \] This simplifies to: \[ x = 2 \]

Thus, the solution to the equation is: \[ \boxed{2} \]