1)
2(8x-3) - 3(2x+1) = 1 + 3(4x-2)
16x - 6 - 6x + 3 = 1 + 12x - 6
16x - 12x - 6x = 1 - 6 + 6 - 3
-2x = -2
x = 1
2)
0.1(20x-3) - 0.2(1-5x) = 0.7 + x
2x - 0.3 - 0.2 + x = 0.7 + x
2x + x - x = 0.7 + 0.3 + 0.2
2x = 1.2
x = 0.6
3)
(3x-1)/5 - (x+2)/3 = (3-2x)/15
3(3x-1) - 5(x+2) = 3 - 2x
9x - 3 - 5x - 12 = 3 - 2x
9x - 5x + 2x = 3 + 3 + 12
6x = 18
x = 3
4)
0.3(4x-1) = (2-5x)/6 - (1-3x)/3
1.8(4x-1) = 2 - 5x - 2(1-3x)
7.2x - 1.8 = 2 - 5x - 2 + 6x
7.2x + 5x - 6x = 2 - 2 + 1.8
6.2x = 1.8
x = 0.2
5)
(1-2x)/3 + 3 = (x+2)/2 + (3-x)/6
2(1-2x) + 18 = 3(x+2) + 3 - x
2 - 4x + 18 = 3x + 6 + 3 - x
-4x - 3x = 6 + 3 - 2 - 18
- 7x = -14
x = 2
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Answers & Comments
1)
2(8x-3) - 3(2x+1) = 1 + 3(4x-2)
16x - 6 - 6x + 3 = 1 + 12x - 6
16x - 12x - 6x = 1 - 6 + 6 - 3
-2x = -2
x = 1
2)
0.1(20x-3) - 0.2(1-5x) = 0.7 + x
2x - 0.3 - 0.2 + x = 0.7 + x
2x + x - x = 0.7 + 0.3 + 0.2
2x = 1.2
x = 0.6
3)
(3x-1)/5 - (x+2)/3 = (3-2x)/15
3(3x-1) - 5(x+2) = 3 - 2x
9x - 3 - 5x - 12 = 3 - 2x
9x - 5x + 2x = 3 + 3 + 12
6x = 18
x = 3
4)
0.3(4x-1) = (2-5x)/6 - (1-3x)/3
1.8(4x-1) = 2 - 5x - 2(1-3x)
7.2x - 1.8 = 2 - 5x - 2 + 6x
7.2x + 5x - 6x = 2 - 2 + 1.8
6.2x = 1.8
x = 0.2
5)
(1-2x)/3 + 3 = (x+2)/2 + (3-x)/6
2(1-2x) + 18 = 3(x+2) + 3 - x
2 - 4x + 18 = 3x + 6 + 3 - x
-4x - 3x = 6 + 3 - 2 - 18
- 7x = -14
x = 2