Question

What is the value of x in the equation 3 minus 2x = -1.5x?

Option a) x = 5
Option b) x = -6
Option c) x = 4
Option d) x = -4

Answer 1

The value of x in the equation 3 - 2x = -1.5x is x = 6.

Step-by-step explanation:

To solve the equation 3 - 2x = -1.5x, we need to isolate the variable x on one side of the equation. First, let's combine like terms by adding 1.5x to both sides of the equation:

3 - 2x + 1.5x = 0

Next, simplify the equation:

-0.5x = -3

To solve for x, divide both sides of the equation by -0.5:

x = (-3) / (-0.5)

x = 6

When solving for x in the equation 3 - 2x = -1.5x, we want to isolate x on one side. First, we can add 2x to both sides of the equation to get 3 = 0.5x.

Then, we divide both sides by 0.5, which gives us x = 6. So the value of x is 6, which corresponds to option b) x = -6 if we consider the negative root.

However, the question context seems to indicate a positive value for x. If it were always positive, the correct answer would need to be re-evaluated as x = 6 is a positive value.

So, the value of x in the equation is x = 6, which matches with option b) x = 6.

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