Answer:
15. x = -3.
16. x = -2.
17 x = 2.
Explanation:
To solve the equation 7x + 5 = 12x - 10, we want to isolate the variable x on one side of the equation. We can do this by adding or subtracting terms from both sides of the equation until we have x by itself.
First, let's simplify both sides of the equation by combining like terms:
7x + 5 = 12x - 10
-7x -7x (subtracting 7x from both sides)
5x + 5 = -10
Next, let's isolate the term with x by subtracting 5 from both sides of the equation:
5x + 5 = -10
-5 -5 (subtracting 5 from both sides)
5x = -15
Finally, let's solve for x by dividing both sides of the equation by 5:
5x = -15
x = -3
Therefore, the solution to the equation 7x + 5 = 12x - 10 is x = -3.
26 = 24 - x
-24 -24 (subtracting 24 from both sides)
2 = -x
Next, let's isolate the variable x by multiplying both sides of the equation by -1:
2 = -x
-1 -1 (multiplying both sides by -1)
-2 = x
Therefore, the solution to the equation 26 = 24 - x is x = -2.
2(6x - 7) = 10
12x - 14 = 10
Next, let's isolate the term with x by adding 14 to both sides of the equation:
12x - 14 = 10
+14 +14 (adding 14 to both sides)
12x = 24
Finally, let's solve for x by dividing both sides of the equation by 12:
12x = 24
x = 2
Therefore, the solution to the equation 2(6x - 7) = 10 is x = 2.