Final answer:
The solution set is x = -21.
Step-by-step explanation:
The solution set of 5(x+27) and 6(x+26) can be found by setting the two expressions equal to each other and solving for x.
5(x+27) = 6(x+26)
Now distribute and simplify both sides of the equation:
5x + 135 = 6x + 156
Subtracting 5x from both sides:
135 = x + 156
Subtracting 156 from both sides:
x = -21
So the solution set is x = -21.