Final answer:
The solution to the equation 4(6x-1)+x=5(5x-1) is 'no solution', because after simplifying, you end up with a false statement (-4 = -5), indicating there is no value of x that will satisfy the equation.
Step-by-step explanation:
The question asks for the solution to the algebraic equation 4(6x-1)+x=5(5x-1). First, we expand both sides of the equation:
24x - 4 + x = 25x - 5
Then, we combine like terms:
25x - 4 = 25x - 5
If we subtract 25x from both sides, we get:
-4 = -5
Since -4 does not equal -5, this equation has no solution.
Thus, when solving linear equations, if you end up with a statement that is not true (such as -4 = -5), it indicates that the equation has no solution.