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Answer:
(3/8)(10 +x)
Step-by-step explanation:
The basic idea is that you multiply and divide by 1 in the form of the coefficient of x divided by itself.
[tex]\dfrac{15}{4}+\dfrac{3}{8}x=\dfrac{\left(\dfrac{3}{8}\right)}{\left(\dfrac{3}{8}\right)}\cdot \left(\dfrac{15}{4}+\dfrac{3}{8}x\right)\\\\=\left(\dfrac{3}{8}\right)\cdot \dfrac{\left(\dfrac{15}{4}+\dfrac{3}{8}x\right)}{\left(\dfrac{3}{8}\right)}=\left(\dfrac{3}{8}\right)\cdot \left(\dfrac{15}{4}\cdot \dfrac{8}{3}+x\right)\\\\=\boxed{\dfrac{3}{8}(10+x)}[/tex]
