Answer:
Solve the following equations, and explain its each step.
6. 6x +3= 5x + 10
Solution given:
6x +3= 5x + 10
Subtracting both side by 5x
6x-5x+3=5x-5x+10
x+3=10
subtracting both side by 3
x+3-3=10-3
x=7
7. 6+ 0.10x = 0.15x+8
Subtracting both side by 0.15x
6+0.10x-0.10x=0.15x-0.10x+8
6=0.05x+8
subtracting both side by 8
6-8=0.05x+8-8
-2=0.05x
dividing both side by 0.05
-2/0.05=x
x=-40
8. 5-4x=6+2x
adding 4 on both side
5-4x-4x=6+2x+4x
5=6+6x
subtracting both side by 6
5-6=6-6+6x
-1=6x
dividing both side by 6
-1/6=6x/6
x=-1/6
9. 9-2x=7x
Solution given
adding 2x on both side
9-2x+2x=7x+2x
9=9x
dividing both side by 9
9/9=9x/9
x=1
10. 2(x-4) + 2x = -6x-2
open bracket
2x-8+2x=-6x-2
solve like terms
4x-8=-6x-2
adding 6 on both side
4x+6x-8=-6x+6x-2
10x-8=-2
adding 8 on both side
10x-8+8=-2+8
10x=6
dividing both side by 10
10x/10=6/10
x=3/5
11. ½x-3=3/2 x+4
Subtracting both side by ½x
½x-½x-3=³/2 x-½ x +4
solve like terms
-3=x+4
Subtracting both side by 4
-3-4=x+4-4
x=-7
