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

$\begin{gathered} 4x=16 \\ \frac{4x}{4}=\frac{16}{4} \\ x=4 \end{gathered}$

so, the answer is x=4