x/4 - 3x/2 = -1/2

I do not understand at all

well, multiply both sides of the equation by 4.

x-6x=-2 check that

-5x=-2 divide by -5

x=2/5 check that.

To solve the equation x/4 - 3x/2 = -1/2, we first need to simplify the left side of the equation by finding a common denominator for the fractions. The common denominator here is 4.

Let's start by rewriting the equation with a common denominator:

(2x)/8 - (12x)/8 = -1/2

Now we can combine the like terms on the left side:

(2x - 12x)/8 = -1/2

Simplifying, we get:

-10x/8 = -1/2

Next, we can simplify the left side of the equation further by reducing the fraction:

-5x/4 = -1/2

To get rid of the fractions, we can multiply both sides of the equation by the reciprocal of the fraction on the left side. The reciprocal of -5/4 is -4/5:

(-4/5)(-5x/4) = (-4/5)(-1/2)

Simplifying, we get:

x = 2/5

Therefore, the solution to the equation x/4 - 3x/2 = -1/2 is x = 2/5.