Final answer:
To solve the equation 5/8 x -1/-3 = 7, simplify the expression, isolate the variable x, and solve for x. By simplify the expression we get the value of x is 56/15.
Step-by-step explanation:
To solve the equation 5/8 x -1/-3 =7, we need to simplify the expression and isolate the variable x.
First, we can simplify the fractions:
5/8 x -1/-3 = 7 becomes 5/8 x 3/1 = 7.
Multiply the numerators and denominators:
(5x3)/(8x1) = 7.
Simplify:
15/8 = 7.
Now, solve for x by multiplying both sides of the equation by the reciprocal of 15/8, which is 8/15:
x = (7 x 8/15) = 56/15.
Therefore, the solution to the equation is x = 56/15.