solve and check solution
12x=11x-5
12x=11x-5
x+5=0
x=-5
To solve the equation 12x = 11x - 5, you need to isolate the variable x on one side of the equation. Here are the steps:
Step 1: Start by subtracting 11x from both sides of the equation to eliminate the x term on the right side:
12x - 11x = 11x - 11x - 5
This simplifies to:
x = -5
Step 2: To check the solution, substitute the value of x back into the original equation and see if both sides of the equation are equal:
12(-5) = 11(-5) - 5
-60 = -55 - 5
-60 = -60
Since both sides of the equation are equal, the solution x = -5 is correct.
Therefore, the solution to the equation 12x = 11x - 5 is x = -5.