Answer:
[tex]\boxed {x = 0}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]3(x - 2) = 2(x - 3)[/tex]
-Use Distributive Property on both sides of the equation:
[tex]3(x - 2) = 2(x - 3)[/tex]
[tex]3x - 6 = 2x - 6[/tex]
-Take [tex]2x[/tex] and subtract it from [tex]3x[/tex]:
[tex]3x - 6 - 2x = 2x - 2x - 6[/tex]
[tex]x - 6 = -6[/tex]
-Add [tex]6[/tex] to both sides:
[tex]x - 6 + 6 = -6 + 6[/tex]
[tex]\boxed {x = 0}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]0[/tex].