Final answer:
To solve the equation (x+8)/(6)=(2x-3)/(10), cross multiply and solve for x.
Step-by-step explanation:
To solve the equation (x+8)/(6)=(2x-3)/(10), we need to cross multiply. First, multiply 6 with (2x-3) and multiply 10 with (x+8). This gives us the equation 10(x+8) = 6(2x-3).
Next, distribute the multiplication on both sides of the equation:
10x+80 = 12x-18
Combine like terms:
10x - 12x = -18 - 80
-2x = -98
Finally, divide both sides of the equation by -2:
x = 49