Question

a) -2 (z-5)+3z-(2-4)

b) 2x-4 (6-5x)-49-(5-3x)

c) 1-3 (4x+7)=2 (x-10)

d) 3 (-1-5x)-(-7x+6)=-4 (x-3)

e) x+2 (19-3x)= -10

Answer 1

A) -2(z-5)+3z-(2-4)
-2-5z+3z+2
-2-2z+2
-2z
z=2

B)2x-4(6-5x)-49-(5-3x)
2x-4+6-5x-49-5+3x
2x+2-5x-54+3x
2x+3x-5x+2-54
5x-5x-52
-52

C)1-3(4x+7)=2(x-10)
1-3+4x+7=2+x-10
-2+4x+7=2+x-10
5+4x= -8+x
4x= -8+x-5
4x-x= -8-5
3x= -13
x= -13/-3
x= -4,3

D) 3(-1-5x)-(-7x+6)=-4(x-3)
3-1-5x+7-6= -4+x-3
2-5x+1= -7+x
5x+3= -7+x
5x= -7+x-3
5x-x= -10
4x= -10
x= -10/-4
x= -2,5

E)x+2(19-3x)= -10
x+2+19-3x= -10
x+21-3x= -10
-2x+21= -10
-2x=-10-21
-2x= -32
x= -32/2
x= -16

Answer 2

A) -2 (z-5)+3z-(2-4)=  -2z+5+3z-2+4 ==> z + 7
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b) 2x-4 (6-5x)-49-(5-3x) = 2x-24+20x-49-5+3x = 25x - 78
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c)1-3 (4x+7)=2(x-10)=>1-12x-21=2x-20=>2x+12x=20-20=>14x=0 ==> x=0 
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d) 3(-1-5x)-(-7x+6)=-4(x-3)=>-3+15x+7x-6=-4x+3
 
22x+4x=3+9=>26x=12 ==. x = 12/26
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e) x+2 (19-3x)= -10 => x+ 38 - 6x = -10 => 5x = 38+10=. 5x=48 => x = 48/5