Final answer:
To solve (4/7)x - 5 = -13, start by adding 5 to both sides to isolate the variable, then multiply by the reciprocal of 4/7 to solve for x, and check the solution for accuracy.
Step-by-step explanation:
The first step needed to solve the equation (4/7)x - 5 = -13 is to isolate the variable x. To do this, we start by eliminating any terms that can be moved to the other side of the equation to simplify it. This means we need to add 5 to both sides of the equation to get (4/7)x = -8. The next step is to multiply both sides of the equation by the reciprocal of 4/7, which is 7/4, to solve for x. Once we calculate the value of x, we should always check to make sure that when we substitute the value back into the original equation, we get a true statement. This helps us confirm that our answer is reasonable and that we haven't made any mistakes in our algebra.