Question

How many solutions are there to the equation below? 7(x + 2) = 7x – 10m

Answer 1

The equation 7(x + 2) = 7x – 10 simplifies to an impossible statement, 14 = –10, meaning it has no solutions.

Step-by-step explanation:

To determine how many solutions the equation 7(x + 2) = 7x – 10 has, we need to simplify and solve for x. Step-by-step, the simplification process looks like this:

1. Distribute the 7 through the parentheses on the left side, resulting in 7x + 14.
2. Subtract 7x from both sides to get 14 = –10.

This simplification shows that the equation reduces to an impossible statement, 14 = –10, which means that the two sides of the equation will never be equal, regardless of the value of x. Therefore, the equation has no solutions.