Question

Which algebraic expression is equivalent below?5(3x+10)+5xA)70xB)20x+50C)20x-50D)20x+10

Answer 1

20x + 50 (option B)

Step-by-step explanation:
`5(3x\text{ + 10) + 5x}`

Expanding the parenthesis:

`5(3x)\text{ + 5(10) + 5x}`
`\begin{gathered} \text{simplifying:} \\ 15x\text{ + 50 + 5x} \end{gathered}`

collecting like terms:

`\begin{gathered} 15x\text{ + 5x + 50} \\ 20x\text{ + 50 (option B)} \end{gathered}`