Let's solve for x in the given equation:

0.5(x+1.6) + 1.4(3x+2.4) = 9.8

Simplify the equation:

0.5x + 0.8 + 4.2x + 3.36 = 9.8
0.5x + 4.2x + 0.8 + 3.36 = 9.8
4.7x + 4.16 = 9.8

Subtract 4.16 from both sides:

4.7x = 5.64

Divide by 4.7 on both sides to solve for x:

x ≈ 1.2

Therefore, the value of x in the given equation is approximately 1.2.