To solve for x, we can simplify the left side of the equation first:

3 1/2 - 1 1/3 x = 1

Convert mixed numbers to improper fractions:

7/2 - 4/3 x = 1

Multiply both sides by the LCD, which is 6:

21 - 8x = 6

Subtract 21 from both sides:

-8x = -15

Divide both sides by -8:

x = 15/8 or 1 7/8

Therefore, the value of x is 1 7/8.

To solve for x, we can first simplify the expression inside the parentheses:

1 1/2 - 1/5 = 7/5

Then, we can simplify the left side of the equation:

2x (7/5) = 2 2/5

Multiply both sides by the reciprocal of 7/5, which is 5/7:

2x = 2 2/5 x 5/7

2x = 10/7

Divide both sides by 2:

x = 5/7

Therefore, the value of x is 5/7.