Keep in mind that the value of x is two numbers. Please help!

Answer:
K = -2.16 , 3.16
Step-by-step explanation:
Add 0.4 to the right side:
║0.3-[tex]\frac{3}{5} k[/tex]║= 1.6
Remove absolute value term:
0.3-[tex]\frac{3}{5} k[/tex] = ±1.6
Solve for positive 1.6:
0.3-[tex]\frac{3}{5} k[/tex] = 1.6
K = -2.16
Solve for negative 1.6:
0.3-[tex]\frac{3}{5} k[/tex] = -1.6
K = 3.16
*The 6 in both answers are repeating decimals*