Final answer:
The student's algebraic equation is simplified and solved step-by-step to find the value of x, which is 7.
Step-by-step explanation:
The equation given by the student is 3x-5+x-1=7x-27. To solve it, you should combine like terms and simplify the equation. The next steps involve moving all terms containing x to one side and the constants to the other side to isolate the variable x.
First, combine like terms:
4x - 6 = 7x - 27
Next, move all terms containing x to one side by subtracting 4x from both sides:
-6 = 3x - 27
Then, add 27 to both sides to get the constant terms on one side:
21 = 3x
Finally, divide both sides by 3 to solve for x:
x = 7