+59 If 5(x) - 17 = -(x) + 7, then x is equal to 4.
To find the variable "x", we need to isolate the variable on one side of the equation so that the answer can be displayed on the other side. To do this, we need to cancel out (or turn into 0) either "5(x)" or "-(x)" by adding a certain amount to both sides of the equation to make one 0. Let's try "-(x)" because it's closer to 0 than "5(x)" is. To cancel it out, we can add "x" to both sides like so:
5(x) + x - 17 = -(x) + x + 7
If we add "5(x)" and "x" we will obtain "6(x)", and if we add "-(x)" and "(x)" we will have 0:
6(x) - 17 = 0 + 7
We also know that any number added to 0 will give that number, so we can simplify "0 + 7" like so:
6(x) - 17 = 7
However, "x" is not the only value on its side of the equation, so next we can try to cancel the "- 17" by adding, not subtracting 17 to each side of the equation. If we were to subtract 17 from negative 17, we would end up with negative 34, not 0. We can manage this like so:
6(x) - 17 + 17 = 7 + 17
Now we can simplify "- 17 + 17" to obtain 0:
6(x) - 0 = 7 + 17
Next we can simplify "6(x) - 0" to get "6(x)" and "7+17" to get 24:
6(x) = 24
Finally, we must make "6(x)" into "x" by dividing each side by 6. This will eliminate that pesky "6" before the "x" so that we can see the answer:
6(x) / 6 = 24 / 6
Dividing "6(x) / 6" will give us "x" and dividing 24 by 6 will give us 4, so:
x = 4
I hope this helped.
-pokemonfan58
+59 If 5(x) - 17 = -(x) + 7, then x is equal to 4.
To find the variable "x", we need to isolate the variable on one side of the equation so that the answer can be displayed on the other side. To do this, we need to cancel out (or turn into 0) either "5(x)" or "-(x)" by adding a certain amount to both sides of the equation to make one 0. Let's try "-(x)" because it's closer to 0 than "5(x)" is. To cancel it out, we can add "x" to both sides like so:
5(x) + x - 17 = -(x) + x + 7
If we add "5(x)" and "x" we will obtain "6(x)", and if we add "-(x)" and "(x)" we will have 0:
6(x) - 17 = 0 + 7
We also know that any number added to 0 will give that number, so we can simplify "0 + 7" like so:
6(x) - 17 = 7
However, "x" is not the only value on its side of the equation, so next we can try to cancel the "- 17" by adding, not subtracting 17 to each side of the equation. If we were to subtract 17 from negative 17, we would end up with negative 34, not 0. We can manage this like so:
6(x) - 17 + 17 = 7 + 17
Now we can simplify "- 17 + 17" to obtain 0:
6(x) - 0 = 7 + 17
Next we can simplify "6(x) - 0" to get "6(x)" and "7+17" to get 24:
6(x) = 24
Finally, we must make "6(x)" into "x" by dividing each side by 6. This will eliminate that pesky "6" before the "x" so that we can see the answer:
6(x) / 6 = 24 / 6
Dividing "6(x) / 6" will give us "x" and dividing 24 by 6 will give us 4, so:
x = 4
I hope this helped.
-pokemonfan58
