Answer:
Equivalent expression is [tex]15a+8b[/tex]
Step-by-step explanation:
Given expression is,
[tex]2\left(5a+3b\right)+5a+2b[/tex]
First step is to apply distributive property. The property states that,
[tex]a\left(b+c\right)=ab+ac[/tex]
Applying the property,
[tex]2\left(5a\right)+2\left(3b\right)+5a+2b[/tex]
Simplifying,
[tex]10a+6b+5a+2b[/tex]
Collecting like terms,
[tex]10a+5a+6b+2b[/tex]
Combining the like terms,
[tex]15a+8b[/tex]
Therefore, equivalent expression is [tex]2\left(5a+3b\right)+5a+2b=15a+8b[/tex]
