Answer:
The final answers:
1) [tex]x = 5[/tex]
2) [tex]x = 8[/tex]
3) [tex]x = 4[/tex]
4) [tex]x = \frac{5}{2}[/tex]
Step-by-step explanation:
-Calculations for every question:
1) [tex]2x - 4 = 6[/tex]
[tex]2x - 4 + 4 = 6 + 4[/tex]
[tex]2x = 10[/tex]
[tex]\frac{2x}{2} = \frac{10}{2}[/tex]
[tex]x = 5[/tex]
2) [tex]\frac{1}{2}x + 6 = 10[/tex]
[tex]\frac{1}{2}x + 6 - 6 = 10 - 6[/tex]
[tex]\frac{1}{2}x = 4[/tex]
[tex]x = 4 \times 2[/tex]
[tex]x = 8[/tex]
3) [tex]3x + 3 = 2x + 7[/tex]
[tex]3x + 3 - 2x =2x - 2x + 7[/tex]
[tex]x + 3 = 7[/tex]
[tex]x = 7 - 3[/tex]
[tex]x = 4[/tex]
4) [tex]-7x + 14 = 7x - 21[/tex]
[tex]-7x + 14 -7x = 7x - 7x - 21[/tex]
[tex]-14x + 14 = -21[/tex]
[tex]14x + 14 - 14 = -21 - 14[/tex]
[tex]-14x = -35[/tex]
[tex]\frac{-14x}{-14} = \frac{-35}{-14}[/tex]
[tex]x = \frac{5}{2}[/tex]
