Can someone help my daughter with her math?

Question

-2(4x-2)=4x-8

-5x+6-4x=3(-3x-2)

3-1(4x+1)=1/2(2x-6)

Answer 1

-2(4x-2)=4x-8

-8x + 4 = 4x - 8

12 = 12x

1 = x

-5x+6-4x = 3(-3x-2)

-9x + 6 = -9x - 6

0 = -12

There are no solutions for x

3-1(4x+1) = (1/2)(2x-6)

3 - 4x - 1 = x - 3

-4x + 2 = x - 3

5 = 5x

1 = x

Answer 2

For each one, she must do the following step by step.

 

1)  Distribute to get rid of parentheses.

2)  Group all variable terms to one side of the equal sign and all constant terms to the other side.

3)  Combine like terms on each side.

4)  Multiply both sides of the equation by the reciprocal of the variable's coefficient.

 

 

I will demonstrate the 1st problem.

 

-8x + 4 = 4x - 8     ----> distribute

-8x - 4x = -8 - 4        ----> group like terms

-12x = -12             ----> combine like terms on each side

    x = 1                 ----> multiply both sides of the equation by the reciprocal of the variable's coefficient.

 

 

Now she can complete the rest.