Question

What number should both sides of the equation  x−5=−6 be multiplied by to solve for the value of x ?

Answer 1

To solve for the value of x, we need to isolate x on one side of the equation.
Looking at the equation x - 5 = -6, we see that we need to get rid of the -5 on the left side of the equation. To do this, we can multiply both sides of the equation by the reciprocal of -5, which is -1/5.
So, multiplying both sides of the equation x - 5 = -6 by -1/5 gives us (-1/5)(x - 5) = (-1/5)(-6).
On the left side, the -1/5 and the 5 will cancel out, leaving us with x. On the right side, -1/5 multiplied by -6 gives us positive 6/5.
So, we have x = 6/5 as the solution to the equation x - 5 = -6.