Answer:
[tex]x = \frac{5}{2} [/tex]
[tex]alternative \: forms: \\ \\ \times = 2 \frac{1}{2} \: or \: x = 2.5[/tex]
Step-by-step explanation:
[tex]5x - 2(2x - 7) = 2(3x - 1) + \frac{7}{2} \\ first \: you \: need \: to \: distribute \\ \\ 5x - 4x - 14 = 6x - 2 + \frac{7}{2} \\ subtract \: 5x \: to \: 4x \\ \\ x + 14 = 6x - 2 + \frac{7}{2} \\ subtract \: 6x \: from \: both \: sides \\ \\ - 5x + 14 = - 2 + \frac{7}{2} \\ add \: - 2 \: to \: \frac{7}{2} \\ \\ - 5x + 14 = \frac{3}{2} \\ subtract \: 14 \: from \: both \: sides \\ \\ - 5x = - \frac{25}{2} \\ divide \: both \: sides \: by \: 5 \\ \\ x = \frac{5}{2} [/tex]
