Question

7(x + 2) = 7x + 14 how many solutions are there

Answer 1

Answer: infinitely many solutions.

Step-by-step explanation:

Let's solve the equation:

7(x + 2) = 7x + 14

Distribute the 7 on the left side:

7x + 14 = 7x + 14

Now, subtract 7x from both sides:

14 = 14

Since this equation is true for any value of x, there are infinitely many solutions.

Answer 2

When we simplify the left-hand side of the equation 7(x + 2), we get:

7(x + 2) = 7x + 14

Expanding the brackets, we get:

7x + 14 = 7x + 14

Notice that the simplified left-hand side and the right-hand side are exactly the same. This means that the equation is an identity and it is true for all values of x.

So, there are infinitely many solutions to the equation 7(x + 2) = 7x + 14.