Question

Question 29 of 40 Solve: 5(x + 2) = 3x+ 5 10 A. x-1 O B. X- Jor O c. x = 5 D. Glo

Answer 1

x = -5/2

Step-by-step explanation:
`5(x\text{ + 2) = 3x + 5}`

Expanding the parenthesis:

`\begin{gathered} 5(x)\text{ + 5(2) = 3x +5} \\ 5x\text{ + 10 = 3x + 5} \end{gathered}`

collect like terms:

`\begin{gathered} \text{subtract 10 from both sides:} \\ 5x\text{ + 10-10 = 3x + 5 - 10} \\ 5x\text{ = 3x - 5} \\ \text{subtract 3x from both sides:} \\ 5x\text{ - 3x = 3x - 3x - 5} \end{gathered}`
`\begin{gathered} 2x\text{ = -5} \\ x\text{ = -5/2} \end{gathered}`