To solve for x in the equation −1.5x−2.7=20.1+4.5x, we need to isolate x on one side of the equation. We can do this by adding 1.5x to both sides of the equation and adding 2.7 to both sides of the equation, which gives us:
-1.5x - 2.7 + 1.5x = 20.1 + 4.5x + 1.5x
Simplifying the left side of the equation and combining like terms on the right side of the equation gives us:
-2.7 = 6x + 20.1
Subtracting 20.1 from both sides of the equation gives us:
-22.8 = 6x
Dividing both sides of the equation by 6 gives us:
x = -3.8
Therefore, the value of x that satisfies the equation is -3.8.