Question

Solve for x.3x – 6AX-2Since the angles represented by the expressions are supplemental,we can find the value of the variable by combining the expressionsand setting them equal to 180°.3x – 6 + x - 2 = 180[? ]x + [ ] 180Hint: Combine the like terms with the variable x.Enter the value of the green box.==please answer the full question

Answer 1

So we have the following equation:

`3x-6+x-2=180`

And we have to re-write it. First we should group like terms. Two constant numbers are like terms just like two terms with the same power of x. Then we get:

`(3x+x)+(-6-2)=180`

x is a common factor in the terms inside the first parenthesis so we can use the distributive property of the multiplication:

`(3x+x)=(3\cdot x+1\cdot x)=(3+1)\cdot x=4x`

Then we get:

`\begin{gathered} (3x+x)+(-6-2)=4x-8=180 \\ 4x-8=180 \end{gathered}`

Then the answer to the first box is 4 and the answer to the second box is -8.