Final answer:
To solve the equation -8(3x - 5) = 13a(13/3)b(5/3)c(6/3)d(7/3), distribute the -8, simplify the right side, and divide by -24 to find the value of x.
Step-by-step explanation:
The given equation is -8(3x - 5) = 13a(13/3)b(5/3)c(6/3)d(7/3). To solve the equation, we can start by distributing the -8 on the left side, giving us -24x + 40 = 13a(13/3)b(5/3)c(6/3)d(7/3). Then, we can simplify the right side of the equation by multiplying the fractions, obtaining (13a)(65/9)bcd(7/3). Now, we have -24x + 40 = (13a)(65/9)bcd(7/3). Finally, we can divide both sides of the equation by -24 to isolate the variable x, resulting in x = -40/24 + (13a)(65/9)bcd(7/3)/-24.