Final answer:
There are no solutions for the given linear equation.
Step-by-step explanation:
To solve the linear equation 10(x + 6)/2 - 9 = (15x + 1)/3 - 8, we need to eliminate the fractions by multiplying both sides of the equation by the LCD (Least Common Denominator), which is 6. This gives us 3(10(x + 6)) - 6(9) = 2(15x + 1) - 6(8). Simplifying both sides, we get 30(x + 6) - 54 = 30x + 2 - 48. Further simplification gives 30x + 180 - 54 = 30x - 46. These like terms cancel out, leaving us with 126 = -46. However, since 126 does not equal -46, there are no solutions for this linear equation.