Let's solve your equation step-by-step
2.4(x-6)=-5.6x+8
Step 1: simplify both sides of the equation
2.4(x-6)=-5.6x+8
(2.4)(x)+(2.4)(-6)=-5.6x+8 (distribute)
2.4x+-14.4=-5.6x+8
2.4x-14.4=5.6x+8
Step 2: Add 5.6x to both sides.
2.4x-14.4+5.6x=-5.6x+8+5.6x
8x-14.4=8
Step 3:Add 14.4 to both sides
8x-14.4+14.4=8+14.4
8x=22.4
Step 4 : Divide both sides by 8
8x/8 =22.4/8
Answer : x=2.8