Question 159875
The length of BD exceeds the length of CE by 10.
1.{{{BD=CE+10}}}
I'm assuming the following
{{{BD=BC+CD}}}
{{{CE=CD+DE}}}
Then substituting,
{{{BD=(4x-3)+(3x)=7x-3}}}
{{{CE=(3x)+(2x+3)=5x+3}}}
Then, going back to eq. 1,
1.{{{BD=CE+10}}}
{{{7x-3=(5x+3)+10}}}
{{{7x-3=5x+13}}}
{{{2x=16}}}
{{{x=8}}}
.
.
.
{{{AB=2x=16}}}
{{{BC=4x-3=4(8)-3=29}}}
{{{CD=3x=24}}}
{{{DE=2x+3=2(8)+3=19}}}
.
.
.
Now to the questions,
What is the length of CD?
{{{24}}} 
Which is longer, AC or CE?
{{{AC=16+29=45}}}
{{{CE=24+19=43}}}
AC is longer
What is the total length of AE?
{{{AE=16+29+24+19=88}}}
or
{{{AE=2x+4x-3+3x+2x+3=11x=88}}}