Final answer:
To solve the equation 8x-13-9x=x+2+x, combine like terms and isolate the variable. The solution is x = -5.
Step-by-step explanation:
To solve the equation 8x-13-9x=x+2+x, we will combine like terms on both sides of the equation.
On the left side, we have 8x - 9x which simplifies to -x.
On the right side, we have x + x which simplifies to 2x.
So, the equation becomes -x - 13 = 2x + 2.
To isolate the variable, we can add 'x' to both sides. This gives us -x + x - 13 = 2x + x + 2.
Combine like terms again, we have -13 = 3x + 2.
To isolate 'x', we can subtract 2 from both sides. Giving us -13 - 2 = 3x.
Finally, we can simplify it to -15 = 3x.
Divide both sides by 3, we find x = -5.
So, the solution set is (x = -15).