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a)
3x + 4 (x + 6) = 10x + 12
3x + 4x + 24 = 10x + 12
7x - 10x = 12 - 24
-3x = -12
x= -12/-3
x=4
b)
- 6x - 3 = 15 - 2( x - 5 )
- 6x = 15 + 3 - 2x + 10
- 6x + 2x = 28
- 4x = 28
x = 28/-4
x = -7
c)
7( x - 4 ) + 2( x + 3 ) = 3 ( x + 5 ) - 1
7x - 28 + 2x + 6 = 3x + 15 - 1
7x + 2x - 3x = 15 - 1 - 6 + 28
6x = 36
x = 36/6
x= 6
d)
3( 4 - x ) - 5x = 2 ( x + 1 )
12 - 3x - 5x = 2x + 2
- 3x - 5x - 2x = 2 - 12
- 10x = -10
x = -10/-10
x = 1
e)
6x - 2 ( x + 4 ) = -100/4 + x + 2
6x - 2x - 8 = -25 + x + 2
6x - 2x - x = -25 + 2 + 8
3x = -15
x= -5
f)
5 ( x - 1 ) - 3 ( 2x - 4 ) = 5x - 5
5x - 5 - 6x + 12 = 5x - 5
5x - 5x - 6x = -5 -12 + 5
- 6x = -12
x = -12/-6
x= 2
g)
7x + 4 = -6 ( x - 1 ) - 15
7x + 4 = -6x + 6 - 15
7x + 6x = 6 - 15 - 4
13x = -13
x = -13/13
x = -1
h)
4 ( - x - 3 ) + 3 = - 3 ( x - 2 )
- 4x - 12 + 3 = - 3x + 6
- 4x + 3x = 6 + 12 - 3
- x = 15
x = -15
i)
- 2 ( x - 4 ) = - 3 ( x - 1 )
- 2x + 8 = - 3x + 3
- 2x + 3x = 3 - 8
x = - 5
j)
8x - 14 + 8 = 6x - 2
8x - 6x = -2 + 14 - 8
2x = 4
x = 4/2
x = 2
k)
15x + 3 ( x - 1 ) = 16x + 3
15x + 3x - 3 = 16x + 3
15x + 3x - 16x = 3 + 3
2x = 6
x = 6/2
x = 3