38.3k views
3 votes
Solve: 3/2x -12 = 24

User Jchook
by
6.3k points

2 Answers

0 votes

Answer:

x = 24

Explanation:

3/2x -12 = 24 is the given equation. To get the answer we need to get x by itself. This can be done by adding, subtracting, multiplying, and dividing numbers to both sides.

First, let's get rid of -12 by adding it to both sides. This will cancel out the negative 12.

3/2x -12 +12 = 24 +12

our result looks like this:

3/2x = 36

Next, we need to divide x by 3/2. Because it's a fraction, it can also be seen as multiplying by the reciprocal, or flip.

3/2x*2/3 = 36*2/3

the result is x by itself, and therefore the answer

x = 24

Hope this helped!

User Nitin Bathija
by
5.5k points
4 votes

Standard form:

3 /2 x − 36 = 0

Factorization:

3/2 (x − 24) = 0

Solutions:

x = 72 /3 = 24

User Grigor Gevorgyan
by
5.5k points