Question

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Answer 1

Answer:

All right

6. 7

7. -40

8. -1/6

9.  1

10. 3/5

11. -7

If you have any questions don't hesitate to ask

Answer 2

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