Question

One half of the difference of a number and three will result in two thirds of the difference of the number and eight

Answer 1

1/2(x - 3) = 2/3(x - 8)

Distributive property on both sides.

0.5x - 1.5 = 0.7x -5.3

Add 5.3 to both sides.

0.5x + 3.8 = 0.7x

Subtract 0.5x from both sides.

3.8 = 0.2x

Multiply both sides by 5.

x = 19 (This is your answer.)

Let me know if you have any other questions. :)