First keep in mind that you're always trying to isolate your variable, in this case 'x'
3x - 7 = 5x - 13
+13 +13
---------------------------- Start by adding 13 to both sides.
3x + 6 = 5x
-3x -3x
------------------- The subtract 3x from both sides.
6 = 2x
-- --
2 2
---------------------- Divide each side by two
x = 3
3 * (3) - 7 = 5 * (3) - 13 Check your solution
9-7 = 15 - 13
2=2
Thus x=3
If: 3x-7 = 5x+13 Then: x = -10
3x+7=5x-13 ----> 3x-5x=-13-7 ----> -2x=-6 -----> x=3
3x + 7 = 5x + 13 3x - 5x = 13 - 7 -2x = 6 -x = 3 x = -3
3x - 7 = 5x + 13-2x = 20x = -10
3x - 7 = 5x + 133x - 5x = 13 + 7-2x = 20x = -10x=-3
x=-3
X=10.
3x+5x-2x = 24 6x = 24 x = 4
(3, -4)
Answer: Between integers 6 and 7Math:5x = 3x + 135x -3x = 3x -3x + 132x = 13(2x) : 2 = (13) : 2Int (6) < (x = 6.5) < Int (7)
0. 7 - 3x = 5x + 13 1. 7 - 8x = 13 2. -8x = 5 3. x = -5/8.
x = -13