x = 3. (Refresh if you cannot see the explanation.)
Step-by-step explanation:
[tex]\frac{4x+6}{3} = \frac{x+9}{2}\\\text{Cross multiply.}\\2(4x+6)=3(x+9)\\\text{Distribute.}\\8x+12=3x+27\\\text{Subtract 3x from both sides.}\\5x+12=27\\\text{Subtract 12 from both sides.}\\5x=15\\\text{Divide both sides by 15.}\\x=3\\\\\text{Proof:}\\\\\frac{4x+6}{3}=\frac{x+9}{2}\\\text{Substitute variable.}\\\frac{4(3)+6}{3}=\frac{3+9}{2}\\\text{Simplify numerators.}\\\frac{18}{3}=\frac{12}{2}\\\text{Divide both sides.}\\6=6[/tex]
