Solve absolute value equation. 2|x-7|=x-8. show steps

2 | x - 7| = x - 8divide both sides by 2
| x - 7 | = 1/2x - 4

x - 7 = 1/2x - 4                x - 7 = -(1/2x - 4)
x - 1/2x = -4 + 7              x - 7 = -1/2x + 4
2/2x - 1/2x = 3                 x + 1/2x = 4 + 7
1/2x = 3                           3/2x = 11
x = 3 * 2                           x = 11 * 2/3
x = 6                                x = 22/3 or 7 1/3

so x = 6 and x = 22/3 or 7 1/3