Question

solve and verify the answer in the picture ​

Answer 1

Answer & Step-by-step explanation:

$\frac{x + 2}{3} - \frac{x + 1}{5} = \frac{x - 3}{4} - 1$

$\frac{5(x + 2) - 3(x + 1)}{15} = \frac{(x - 3) - 4}{4}$

$\frac{5x + 10 - 3x - 3}{15} = \frac{x - 3 - 4}{4}$

$\frac{2x + 7}{15} = \frac{x - 7}{4}$

cross multipy

$(2x + 7) * 4 = (x - 7) * 15\\8x + 28 = 15x - 105\\28 + 105 = 15x - 8x\\133 = 7x\\x = 19$

Verification

$\frac{19 + 2}{3} - \frac{19 + 1}{5} =\frac{19 - 3}{4} - 1$

$7 - 4 = 4 - 1\\3 = 3$