solve this equation and tell whether the answer turns out to be a false equation or an identity problem.

8x-13=11+5x

1 answer

To solve the equation 8x - 13 = 11 + 5x, we first need to combine like terms.

Subtracting 5x from both sides, we get:

3x - 13 = 11

Next, adding 13 to both sides, we get:

3x = 24

Finally, dividing both sides by 3, we find:

x = 8

Therefore, the solution to the equation is x = 8.

To determine whether this is a false equation or an identity problem, we can substitute x = 8 back into the original equation:

8(8) - 13 = 11 + 5(8)
64 - 13 = 11 + 40
51 = 51

Since both sides of the equation are equal when x = 8, the equation is an identity and true for all real numbers.