Question

Excuse Ms or Mr I'm having trouble with this problem. for the procedure do i set up my equation like this? 7x-10+4x-29=5x-9 or did i set it up wrong? could please guide me step by step on what to do?

Answer 1

The line BD is divided into two smaller segments by point C.

If you add those smaller segments, the result will be equal to the length of segment BD:

BD=BC+CD

Replace this expression with the given equaities and you'll be able to determine an equation:

$\begin{gathered} BD=BC+CD \\ 7x-10=4x-29+5x-9 \end{gathered}$

Next perform the calculations between all alike terms:

$\begin{gathered} 7x-10=4x+5x-29-9 \\ 7x-10=9x-38 \end{gathered}$

And rearrange them so that all x-related terms are on the left side and the other terms on the right side of the equation

$\begin{gathered} 7x-9x=-38+10 \\ -2x=-28 \\ x=-\frac{28}{-2} \\ x=14 \end{gathered}$