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

Explanation:

Step1: Expand the equation

$2(x - 3)+9=3(x + 1)+x$ expands to $2x-6 + 9=3x+3+x$.

Step2: Simplify both sides

On the left - hand side, $2x-6 + 9=2x + 3$. On the right - hand side, $3x+3+x=4x+3$. So the equation becomes $2x + 3=4x+3$.

Step3: Move the terms with x to one side

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

Step4: Solve for x

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

Answer:

$x = 0$