If four times a number, added to 3 is divided by the number plus 7, the result is seven halves

Assuming the number is x, we can create an equation:

(4 times x added to 3) is divided by (x plus 7), resulting in 7/2: (4*x+3) / (x+7) = 7/2

Multiply both sides by x+7: 4x+3 = (7/2) (x+7)

Distributive property: 4x+3 = (7/2) (x) + (7/2) (7)

Move similar terms to the same side: 4x - (7/2) x=49/2-3

Combine similar terms:1/2x=43/2

Divide both sides by 1/2 (multiply both sides by 2) : x=43

The number is 43.

The answer is in the file let the unknown number be x.