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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

Solve for x3x 6AX2Since the angles represented by the expressions are supplementalwe can find the value of the variable by combining the expressionsand setting class=

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So we have the following equation:

[tex]3x-6+x-2=180[/tex]

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:

[tex](3x+x)+(-6-2)=180[/tex]

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

[tex](3x+x)=(3\cdot x+1\cdot x)=(3+1)\cdot x=4x[/tex]

Then we get:

[tex]\begin{gathered} (3x+x)+(-6-2)=4x-8=180 \\ 4x-8=180 \end{gathered}[/tex]

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

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