Let's expand the left side of the equation first:
(х+2)(х+7) - х(х+5)= х^2 + 7х + 2х + 14 - х^2 - 5х= х^2 + 9х + 14 - х^2 - 5х= 4х + 14
Now, set this expression equal to 26:
4х + 14 = 26
Subtract 14 from both sides:
4х = 12
Divide by 4:
х = 3
Therefore, the solution to the equation (х + 2)(х + 7) - х(х + 5) = 26 is х = 3.
Let's expand the left side of the equation first:
(х+2)(х+7) - х(х+5)
= х^2 + 7х + 2х + 14 - х^2 - 5х
= х^2 + 9х + 14 - х^2 - 5х
= 4х + 14
Now, set this expression equal to 26:
4х + 14 = 26
Subtract 14 from both sides:
4х = 12
Divide by 4:
х = 3
Therefore, the solution to the equation (х + 2)(х + 7) - х(х + 5) = 26 is х = 3.