Answer: x = 2
Step-by-step explanation:
[tex]$Solve for $x$ :$\frac{x+4}{3}=\frac{x+6}{4}$Multiply both sides by 12 :$\frac{12(x+4)}{3}=\frac{12(x+6)}{4}$$\begin{aligned}&\frac{12}{3}=\frac{3 \times 4}{3}=4 \\&4(x+4)=\frac{12(x+6)}{4}\end{aligned}$$\begin{aligned}&\frac{12}{4}=\frac{4 \times 3}{4}=3 \\&4(x+4)=3(x+6)\end{aligned}[/tex]
[tex]$Expand out terms of the left hand side:$(4 x+16)=3(x+6)$Expand out terms of the right hand side:$4 x+16=(3 x+18)$Subtract $3 x$ from both sides:$(4 x-3 x)+16=(3 x-3 x)+18$$\begin{aligned}&4 x-3 x=x: \\&x+16=(3 x-3 x)+18\end{aligned}$[/tex]
[tex]\begin{aligned}&3 x-3 x=0: \\&x+16=18\end{aligned}$ \\\\\ Subtract 16 from both sides:$\begin{aligned}&x+(16-16)=18-16 \\&16-16=0: \\&x=18-16\end{aligned}$$18-16=2$Answer:$x=2$[/tex]
