What is the solution to the equation below?%0D%0A%0D%0A4x+3(x−2)=8x−(6+x)%0D%0A4%0D%0A%0D%0A+%0D%0A3%0D%0A(%0D%0A%0D%0A−%0D%0A2%0D%0A)%0D%0A=%0D%0A8%0D%0A%0D%0A−%0D%0A(%0D%0A6%0D%0A+%0D%0A%0D%0A)%0D%0AThis problem requires you to show your work.%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0Ano solution%0D%0Ano solution%0D%0A%0D%0Ainfinite solutions%0D%0Ainfinite solutions%0D%0A%0D%0Ax=6%0D%0A%0D%0A=%0D%0A6%0D%0Ax is equal to 6%0D%0A%0D%0Ax=−4

Question

What is the solution to the equation below?%0D%0A%0D%0A4x+3(x−2)=8x−(6+x)%0D%0A4%0D%0A%0D%0A+%0D%0A3%0D%0A(%0D%0A%0D%0A−%0D%0A2%0D%0A)%0D%0A=%0D%0A8%0D%0A%0D%0A−%0D%0A(%0D%0A6%0D%0A+%0D%0A%0D%0A)%0D%0AThis problem requires you to show your work.%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0Ano solution%0D%0Ano solution%0D%0A%0D%0Ainfinite solutions%0D%0Ainfinite solutions%0D%0A%0D%0Ax=6%0D%0A%0D%0A=%0D%0A6%0D%0Ax is equal to 6%0D%0A%0D%0Ax=−4

Answer 1

To solve the equation, we need to simplify both sides and then solve for x.

4x + 3(x - 2) = 8x - (6 + x)
4x + 3x - 6 = 8x - 6 - x
7x - 6 = 7x - 6

Since both sides are equal, regardless of the value of x, the equation has infinite solutions. Therefore, the correct answer is:

infinite solutions