Answer:
So, the solution to the equation 3x - 7 = 8x + 23 is x = -6.
Explanation:
Move the 8x term to one side of the equation by subtracting 8x from both sides:
3x - 8x - 7 = 8x - 8x + 23
This simplifies to:
-5x - 7 = 23
Next, add 7 to both sides of the equation to isolate the -5x term:
-5x - 7 + 7 = 23 + 7
This simplifies to:
-5x = 30
Finally, divide both sides by -5 to solve for x:
(-5x) / (-5) = 30 / (-5)
This simplifies to:
x = -6