Question

What is the solution to the equation -4(2x+3)-2x+6-(8x+2)?

a. x= -10
b. x= -8
c. x= -5/2
d. x= -4/7

Answer 1

After distributing -4 into the parentheses, combining like terms, and simplifying the linear equation, we solve for x and find x = -4/9, which does not match any of the provided options.

Step-by-step explanation:

To solve the linear equation -4(2x+3)-2x+6-(8x+2), we must simplify and solve for x. Let's simplify step by step:

1. Distribute the -4 into the parentheses: -8x - 12
2. Combine like terms: -8x - 2x - 8x
3. Add the constants: -12 + 6 - 2
4. All together it simplifies to -18x - 8
5. To solve for x, first add 8 to both sides, then divide by -18, giving us x = ­8/18, which simplifies to x = ­4/9.

However, none of the provided options match this result. So there might be a typo or an error in the given problem or answer choices.