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

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

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.