Solve the following equation for x. Express your answer in the simplest form.

Question

7(-6x+1) = 6 (-x-1)

Answer 1

To solve the equation, we will distribute the 7 and the 6 to each term in the parentheses:

7(-6x+1) = 6(-x-1)
-42x + 7 = -6x - 6

Now, we will combine like terms on each side of the equation:

-42x + 7 = -6x - 6
-42x + 6x = -6 - 7
-36x + 6x = -13

Simplifying further,

-36x + 6x = -13
-30x = -13

Finally, we will isolate x by dividing both sides of the equation by -30:

-30x / -30 = -13 / -30
x = 13/30

Therefore, the solution to the equation is x = 13/30.