Question

7( x - 5 ) = 2x - 10

Answer 1

Given the equation

`7(x-5)=2x-10`

First step solve the term in the parenthesis by applying the distributive propperty of mutiplication that states that if you have a(b+c)→ab+ac

`\begin{gathered} 7(x-5)=2x-10 \\ 7x-35=2x-10 \end{gathered}`

Next pass all x-related terms to one side of the equation and the others to the other side:

`\begin{gathered} 7x-35=2x-10 \\ 7x-2x=-10+35 \\ 5x=25 \\ x=(25)/(5) \\ x=5 \end{gathered}`

x=5