Answer:
x=10
Explanation:
solve for x: 1/2x+4=9
First, you need to get the variable x to be on a side of the equation, by itself. That is your goal throughout the problem. The easiest way to start this is by removing 4 from the left side of the equation. We know that before the number 4 is a plus sign. In order to remove 4 from the left side of the equation, we must do the opposite of the plus sign. The plus sign represents addition, and the opposite of addition is subtraction. This means we need to subtract 4 from the left side. Remember, that whatever we do to one side, we must do to the other side! This means we must subtract 4 on BOTH sides of the equation.
On the left side of the equation, we have 4 and we subtract it by 4.
4-4=0
Since the answer is 0 we can forget about the number, because it does not hold any value.
Next, on the right side of the equation we have 9, and we subtract it by 4, as well because whatever we do to one side, we must do to the other side.
9-4=5
Our new equation should be: 1/2x=5
Our last step is to continue our goal from the beginning of the problem; to get x alone on one side of the equation. In order to complete that goal, we must remove 1/2 from the left side of the equation. Remember when we subtracted 4 one each side, we took the opposite of the sign. In this equation, we don't necessarily see a sign like before. However, whenever x is directly beside another number, that means that it is being multiplied by that number. Just like how the opposite of addition is subtraction, the opposite of multiplication is division. We need to divide 1/2 on both sides.
On the left side, we divide 1/2x by 1/2.
1/2 divided by 1/2 is 10
One isn't necessary to keep in the equation ONLY if it is next to x, like in this case.
Lastly, whatever we do to one side, we must do to the other. We finish the problem by dividing 5 by 1/2.
5 divided by .5 is 10
We are left with x=10.
The answer is 10.