Question

what is the value of x in the equation $2(x - 3) + 9 = 3(x + 1) + x$?
$x = -1$
$x = 0$
$x = 3$
$x = -3$

Explanation:

Step1: Expand both sides

Expand the left - hand side: \(2(x - 3)+9=2x-6 + 9=2x + 3\)
Expand the right - hand side: \(3(x + 1)+x=3x+3+x = 4x+3\)

Step2: Solve for x

Set the two sides equal: \(2x + 3=4x+3\)
Subtract \(2x\) from both sides: \(3=2x + 3\)
Subtract 3 from both sides: \(0 = 2x\)
Divide both sides by 2: \(x = 0\)

Answer:

\(x = 0\) (the option with \(x = 0\))