Answer
z=20
Work Step by Step
0.4(2z+6)+0.1=0.5(2z-3)
(10)(0.4)(2z+6)+(10)(0.1)=(10)(0.5)(2z-3)
4(2z+6)+1=5(2z-3)
8z+24+1=10z-15
8z+25=10z-15
25=10z-8z-15
25=2z-15
25+15=2z
40=2z
40$\div$2=z
20=z
Check the answer.
0.4(2(20)+6)+0.1=0.5(2(20)-3)
0.4(40+6)+0.1=0.5(40-3)
0.4(46)+0.1=0.5(37)
18.4+0.1=18.5
18.5=18.5