To solve this equation, we will first distribute and simplify on both sides:
12x - 13(x-5) = 12 + 12(x+1)12x - 13x + 65 = 12 + 12x + 12-x + 65 = 24 + 12x
Next, we will combine like terms and isolate x on one side:
-x - 12x = 24 - 65-13x = -41
Now, we will divide by -13 to solve for x:
x = -41 / -13x = 3.15
Therefore, the solution to the equation is x = 3.15.
To solve this equation, we will first distribute and simplify on both sides:
12x - 13(x-5) = 12 + 12(x+1)
12x - 13x + 65 = 12 + 12x + 12
-x + 65 = 24 + 12x
Next, we will combine like terms and isolate x on one side:
-x - 12x = 24 - 65
-13x = -41
Now, we will divide by -13 to solve for x:
x = -41 / -13
x = 3.15
Therefore, the solution to the equation is x = 3.15.