Question

Tell whether the equation has one, zero, or infinitely many solutions.
8(x-4) + 19 = 8x - 13

Answer 1

This problem has infinite many solutions.

Explanation:

8(x−4)+19=8x−13

Step 1: Simplify both sides of the equation.

8(x−4)+19=8x−13

(8)(x)+(8)(−4)+19=8x+−13(Distribute)

8x+−32+19=8x+−13

(8x)+(−32+19)=8x−13(Combine Like Terms)

8x+−13=8x−13

8x−13=8x−13

Step 2: Subtract 8x from both sides.

8x−13−8x=8x−13−8x

−13=−13

Step 3: Add 13 to both sides.

−13+13=−13+13

0=0