Question

2.4(3x +2)+0.3(x +4)=6.6

Answer 1

2.4(3x +2)+0.3(x +4)=6.6
7.2x + 4.8 + 0.3x + 1.2 = 6.6
7.5x + 6.0 = 6.6
7.5x = 0.6
x = 0.6/7.5 = 0.08

of course, if you are plagued by decimal anxiety, you could start out by multiplying everything by 10 to get
24(3x +2)+3(x +4)=66
72x + 48 + 3x + 12 = 66
75x + 60 = 66
x = 6/75 = 2/25

Answer 2

2.4 ( 3 x + 2 ) + 0.3 ( x + 4 ) = 6.6

2.4 • 3 x + 2.4 • 2 + 0.3 • x + 0.3 • 4 = 6.6

7.2 x + 4.8 + 0.3 x + 1.2 = 6.6

7.5 x + 6 = 6.6

Subtract 6 to both sides

7.5 x = 0.6

x = 0.6 / 7.5

x = 0.08