Question

a) x + 4 ( x - 1 ) = 9 - 2 ( x + 3 )

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

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

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

e) 2 ( 3x -1 ) + 2 ( 3 - x ) = 8

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

g) 1 + 4 ( x - 5 ) = 0

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

i) x - ( x - 1 ) = 12 - ( 3x - 2 )

Answer 1

A) x + 4 ( x - 1 ) = 9 - 2 ( x + 3 )

x + 4x - 4 = 9 - 2x - 6 ==> x + 4x + 2x = 9 - 6 + 4 ==> 7x = 7 ==> x = 1
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b) 5x - ( x -2 ) = 2 - 3 ( x + 5 ) ==>   5x - x + 2  = 2 - 3x - 15

5x - x + 3x  = 2 - 15 - 2 ==> 7x = 15 ==> x = 15/7
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c) 10 - ( 2x + 1 ) = 4 ( 2x +3 ) ==> 10 - 2x - 1 = 8x + 12

 10 - 1 -12 = 8x + 2x ==> 10x = - 3 ==> x = - 3/10  ou x = - 0,3
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d) 5 ( 3x - 2 ) = 2 ( 6x + 3 ) ==> 15x -10 = 12x + 6 ==> 15x-12x = 6+10

3x = 16 ==> x = 16/3
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e) 2 ( 3x -1 ) + 2 ( 3 - x ) = 8 ==> 6x - 2 + 6 - 2x  = 8
 
4x = 8 + 2 ==> 4x = 10 ==> x = 10/4 ou x = 5/2 ou x = 2,5
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f) 7 ( x - 1 ) = 2 ( 3x +1 ) ==> 7x - 7 = 6x + 2 ==> 7x-6x = 2+7 ==> x=9
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g) 1 + 4 ( x - 5 ) = 0 ==> 1 + 4x - 20 = 0 ==> 4x = 19 ==> x =   19/4
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h) 4 ( x - 2 ) + 3 ( 2x - 1 ) = 6 ( 2x - 3 ) ==> 4x - 8 + 6x - 3 = 12x - 18

- 8 - 3  + 18 = 12x - 4x - 6x ==> 2x = 7 ==> x = 7/2 ou 3,5
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i) x - ( x - 1 ) = 12 - ( 3x - 2 ) ==> x - x + 3x  = 12 + 2 - 1

3x = 13 ==> x = 13/3