Question

SAT Questions: Solving Multi-Step Equations2(5x – 20) – (15 + 8x) = 7What value of x satisfies the equation above?O 31/9O 31I 162O 18

Answer 1

31/9

Step-by-step explanation:

Given the equation

`2\mleft(5x-20\mright)-15+8x=7`

Step 1: Open the brackets

`10x-40-15+8x=7`

Step 2: Take all constants to the right-hand side.

`\begin{gathered} 10x+8x=7+40+15 \\ 18x=62 \end{gathered}`

Step 3: Divide both sides of the equation by 18

`\begin{gathered} (18x)/(18)=(62)/(18) \\ x=(62)/(18) \\ x=(31)/(9) \end{gathered}`

The value of x that satisfies the given equation is 31/9.