what is the value of x in the equation 2(x - 3)+9 = 3(x + 1)+x?\no x=-3\no x=-1\no x = 0\no x = 3

Answer:

C. $x = 0$

Explanation:

Step1: Expand both sides

$2(x - 3)+9=2x-6 + 9=2x + 3$ and $3(x + 1)+x=3x+3+x=4x + 3$.

Step2: Set up the new - equation

$2x+3=4x + 3$.

Step3: Move like - terms

Subtract $2x$ from both sides: $2x+3-2x=4x + 3-2x$, which gives $3 = 2x+3$.

Step4: Solve for $x$

Subtract 3 from both sides: $3-3=2x+3 - 3$, so $0 = 2x$. Then divide both sides by 2: $\frac{0}{2}=\frac{2x}{2}$, and $x = 0$.