Answer
x= -8.58
Work Step by Step
6(x+1.43)=5x Use the distributive property
6x +6$\times$1.43 = 5x
6x + 8.58=5x
6x + 8.58 -8.58=5x -8.58
6x = 5x -8.58
6x -5x= 5x -8.58 -5x
x=-8.58
Check
Replace x with -8.58
6(x+1.43)=5x
6(-8.58+1.43)=5(-8.58)
6(-7.15 )=-42.90
-42.90=-42.90