what is the value of x?

Answer:
x=4
Step-by-step explanation:
By SAS we know that
[tex]\triangle ABE \sim \triangle ADC[/tex]
by a ratio of
[tex]1:2[/tex]
so we have
[tex]\frac{BE}{DC}=\frac{1}{2}\\\\2BE=DC\\\\2(x+2)=12\\\\2x+4=12\\\\2x=12-4\\\\2x=8\\\\x=4[/tex]