[tex]\frac{x + 1}{2} = 4x - 3\\\frac{x + 1}{2} \cdot 2 = 4x \cdot 2 - 3 \cdot 2\\x + 1 = 8x - 6\\x - 8x = -6 - 1\\-7x = -7\\x = \frac{-7}{-7}\\x = 1[/tex]