Solution is at the end.
To solve the equation 0.25(x - 13) = 7 for x, we will follow these steps:
Step 1: Distribute the 0.25 to both terms inside the parentheses.
0.25(x - 13) becomes 0.25 * x - 0.25 * 13.
Step 2: Simplify the equation.
0.25 * x is the same as 0.25x, and 0.25 * 13 equals 3.25.
Therefore, the equation becomes 0.25x - 3.25 = 7.
Step 3: Isolate the variable.
To isolate the variable x, we need to get rid of the -3.25 on the left side of the equation. We can do this by adding 3.25 to both sides of the equation.
0.25x - 3.25 + 3.25 = 7 + 3.25
Simplifying, we have 0.25x = 10.25.
Step 4: Solve for x.
To solve for x, we need to divide both sides of the equation by 0.25.
(0.25x) / 0.25 = 10.25 / 0.25
Simplifying further, we have x = 41.
So the solution to the equation 0.25(x - 13) = 7 is x = 41.