Find Current I1 in 7.5 Ω Resistor with Kirchhoff's Rule

[deenuh20]

Homework Statement

In the circuit below: (a) Find the current I1 that passes through the 7.5 Ω resistor.

Homework Equations

Kirchhoff's Rule--Loops

The Attempt at a Solution

This was a problem in my textbook. The answer is .65 A, but I don't understand how to get that. I tried Kirchhoff's rule by finding equivalent R between A & B and Then finding equivalent R between A & C then finding I, Then breaking I into I1 and I2 (according to the parallel resistances between A & B)

However, I still didn't get the answer, .65 A. Was my approach correct, or is there another way? Thank you.

 

[AlephZero]

Your plan of how to solve it is OK, and when I did it that way I got 0.65A.

If you can't find your mistake, show your working, then somebody can check through it.