1)
[tex]6 - x - \frac{x}{2} = 4 [/tex]
[tex]12 - 2x - x = 8[/tex]
[tex] - 3x = 8 - 12[/tex]
[tex] - 3x = - 4[/tex]
[tex]x = \frac{4}{3} = 1 \frac{1}{3} [/tex]
2)
[tex] \frac{3}{4} x - x - 1 = 0[/tex]
[tex] \frac{3}{4} x - \frac{4}{4} x = 1[/tex]
[tex] - \frac{1}{4} x = 1[/tex]
[tex]x = 1 \div ( - \frac{1}{4} ) = 1 \times ( - 4) = - 4[/tex]
3)
[tex]2 \frac{1}{2} + 2x = 15[/tex]
[tex]2x = 15 - 2.5[/tex]
[tex]2x = 12.5[/tex]
[tex]x = 12.5 \div 2[/tex]
[tex]x = 12 \frac{1}{2} \times \frac{1}{2} [/tex]
[tex]x = \frac{25}{2} \times \frac{1}{2} = \frac{25}{4} = 6 \frac{1}{4} [/tex]
4)
[tex]8x - 5 - 6x = 7[/tex]
[tex]2x = 7 + 5[/tex]
[tex]2x = 12[/tex]
[tex]x = 12 \div 2 = 6[/tex]