Question

What is the solution to 2x + 2 (x – 5)= 6 ? Show your work. explainhow you solved the equation.

Answer 1

`2x+2(x-5)=6`

Step 1

eliminate the parenthesis, use distributive property

`\begin{gathered} 2x+2(x-5)=6 \\ 2x+2x-10=6 \end{gathered}`

Step 2

add similar terms

`\begin{gathered} 2x+2x-10=6 \\ 4x-10=6 \end{gathered}`

Step 3

add 10 in both sides

`\begin{gathered} 4x-10=6 \\ 4x-10+10=6+10 \\ 4x=16 \end{gathered}`

Step 4

divide each side by 4

`\begin{gathered} 4x=16 \\ (4x)/(4)=(16)/(4) \\ x=4 \end{gathered}`

so, the answer is x=4