what is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?\n3\n4\n5\n9

Explanation:

Step1: Expand both sides

$1.5(x + 4)-3=1.5x+6 - 3=1.5x + 3$, $4.5(x - 2)=4.5x-9$.

Step2: Set up the new - equation

$1.5x + 3=4.5x-9$.

Step3: Move the terms with x to one side

$1.5x-4.5x=-9 - 3$.

Step4: Combine like - terms

$-3x=-12$.

Step5: Solve for x

$x=\frac{-12}{-3}=4$.

Answer:

4