solve the equation but tell if the solution turns out to be a false equation or identity

Question

5+7x+2=5x-14

Answer 1

Let's solve the equation:

5 + 7x + 2 = 5x - 14

Combining like terms, we get:

7x + 7 = 5x - 14

Subtract 5x from both sides:

2x + 7 = -14

Subtract 7 from both sides:

2x = -21

Divide by 2:

x = -21/2

Therefore, x = -10.5

Since the only solution for x is -10.5, there is no false equation or identity. The solution is correct.