what is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?\no 3\no 4\no 5\no 9

Answer:

C. 5

Explanation:

Step1: Expand both sides

$1.5(x + 4)-3=1.5x+6 - 3=1.5x + 3$ and $4.5(x - 2)=4.5x-9$. So the equation becomes $1.5x + 3=4.5x-9$.

Step2: Move x - terms to one side

Subtract $1.5x$ from both sides: $1.5x+3-1.5x=4.5x - 9-1.5x$, which simplifies to $3 = 3x-9$.

Step3: Isolate the term with x

Add 9 to both sides: $3 + 9=3x-9 + 9$, getting $12 = 3x$.

Step4: Solve for x

Divide both sides by 3: $\frac{12}{3}=\frac{3x}{3}$, so $x = 4$.