Final answer:
To determine the value of x in the equation 25x + 30 = 5x + 6, subtract 5x from both sides and simplify. Then, subtract 30 from both sides and simplify further. Finally, divide both sides by 20 to solve for x, which equals -1.2.
Step-by-step explanation:
To determine the value of x in the equation 25x + 30 = 5x + 6, we need to isolate x on one side of the equation. First, we can subtract 5x from both sides:
25x - 5x + 30 = 5x + 6 - 5x
Simplifying, we have:
20x + 30 = 6
Next, we can subtract 30 from both sides:
20x + 30 - 30 = 6 - 30
Simplifying further:
20x = -24
Finally, we divide both sides by 20 to solve for x:
x = -24/20
Therefore, the value of x is -24/20 or -1.2.