Answer: x=-12
Step-by-step explanation:
To solve for x, you want to use algebraic properties to isolate x.
[tex]\frac{x}{4}=2+\frac{x-3}{3}[/tex] [subtract both sides by [tex]\frac{x-3}{3}[/tex]]
[tex]\frac{x}{4}-\frac{x-3}{3}=2[/tex] [get common denominator]
[tex]\frac{3x}{12} -\frac{4x-12}{12} =2[/tex] [subtract]
[tex]\frac{-x+12}{12} =2[/tex] [multiply both sides by 12]
[tex]-x+12=24[/tex] [subtract both sides by 12]
[tex]-x=12[/tex] [divide both sides by -1]
[tex]x=-12[/tex]
Now, we know that x=-12.
