Question

Solve for x. fraction numerator x plus 5 over denominator 4 end fraction equals fraction numerator 2 x plus 1 over denominator 2 end fraction

Answer 1

The answer is x = 1

Explanation:

Let¿'s solve for x in the equation:

(x + 5)/4 = (2x + 1)/2

x + 5 = 2 * (2x + 1)

x + 5 = 4x + 2

-3x = 2 - 5

-3x = -3

x = 1

Proof of x = 1

1 + 5/4 = 2 + 1/2

6/4 = 3/2

3/2 = 3/2 (Dividing by 2 at the left side)

We proved that x = 1 is correct