Answer
The solution is:
$$x = 9$$
To check if the solution is correct, we plug $9$ for $x$ into the original equation to see if both sides equal one another:
$$0.5(9) + 8.75 = 13.25$$
Multiply, according to order of operations:
$$4.5 + 8.75 = 13.25$$
Now, you can do the addition portion:
$$13.25 = 13.25$$
The solution is correct because both sides of the equation are equal to one another.
Work Step by Step
To solve for $x$, you need to isolate $x$ on one side of the equation. In this problem, you want to move the constant to the other side of the equation by subtracting it:
$$0.5x = 13.25 - 8.75$$
Simplify:
$$0.5x = 4.5$$
Solve for $x$ by dividing both sides by $0.5$:
$$x = 9$$
To check if the solution is correct, we plug $9$ for $x$ into the original equation to see if both sides equal one another:
$$0.5(9) + 8.75 = 13.25$$
Multiply, according to order of operations:
$$4.5 + 8.75 = 13.25$$
Now, you can do the addition portion:
$$13.25 = 13.25$$
The solution is correct because both sides of the equation are equal to one another.
