Question

1. 7-(3x+4)=(x+1)-(2x+4)= ???
2. 4-2(4-x)=x-4(x-1)= ???
3. (4-2x)-(x+4)=(x-5)+(-3-x)= ???
4. 3(x-4)-4(2x-7)=2(x+5)= ???

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Answer 1

1.

7-(3x+4)=(x+1)-(2x+4)

7-3x-4=x+1-2x-4

-3x+x=-3-3

-3x=-6/:(-3)

x=2

2.

4-2(4-x)=x-4(x-1)

4-8+2x=x-4x+4

2x+3x=4+4

5x=8/:5

x=1 3/5

3.

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

4-2x-x-4=x-5-3-x

-3x=-8/:(-3)

x=2 2/3

4.

3(x-4)-4(2x-7)=2(x+5)

3x-12-8x+28=2x+10

-5x-2x= 10-16

-7x=-6/:(-7)

x=6/7

Answer 2

1. 7-3x-4=x+1-2x-4

3-3x=-x-3  \+3

6-3x=-x   \+3x

6=2x   \:2

3=x

 

2. 4-8+2x=x-4x+4

-4+2x=-3x+4  \-4

-8+2x=-3x   \-2x

-8=-5x   \:(-5)

8/5=x

 

3. 4-2x-x-4=x-5-3-x

-3x=-8  \: (-3)

x=8/3

 

4. 3x-12-8x-28=2x+10

-5x-30=2x+10

-7x=40  \:(-7)

x=-40/7