Question

What is the value of x in the equation 3-2x=-1.5x?
оооо
-6

Answer 1

x = 6

Explanation:

In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).

3 - 2x = -1.5x

(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)

-1.5x = 3 - 2x

First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.

0.5x = 3

For our next part here, let's convert 0.5 to a fraction to make life easier for us.

`(1)/(2)`x = 3

When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!

`(1)/(2)`x ·
`(2)/(1)` = 1x (or simply x)

What we do to one side we must do to another.

x = 3 · 2

x = 6

Our answer is x = 6. Woo!

Answer 2

x=6

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.