Question

–1/2 (12x – 2) = –6x – 1

Answer 1

Answer: No solution.

Explanation:

1.) Distribute -1/2

-6x + 1 = -6x - 1

2.) Move over terms to combine

0 = -2

There is no solution to this equation.

Answer 2

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by adding 1/2 (12x - 2) to both sides of the equation:

-1/2 (12x - 2) + 1/2 (12x - 2) = -6x - 1 + 1/2 (12x - 2)

Combining like terms on the right side of the equation, we get:

0 = -6x + 12x - 1 + (12x - 2) / 2

Simplifying further:

0 = 6x - 1 + 6x

Combining like terms again:

0 = 12x - 1

Adding 1 to both sides:

1 = 12x

Finally, dividing both sides by 12:

x = 1/12

Explanation: