1) 9x + 13 = 7x + 5
9x - 7x = 5 - 13
2x = -8
x = -8 / 2
x = -4.
2) 3(2x + 5) + 6 = 3
6x + 15 + 6 = 3
6x = 3 - 15 - 6
6x = -18
x = -18 / 6
x = -3.
3) 5x + 18 = 7x + 6(3x - 7)
5x + 18 = 7x + 18x - 42
5x - 7x - 18x = -42 - 18
-20x = -60
x= -60 / -20
x = 3.
4) 3x - 7(3x - 4) = 5(2x - 7)
3x - 21x + 28 = 10x - 35
3x - 21x - 10x = -35 - 28
-28x = -63
x = -63 / -28
x = 2,4.
5) 13 - 3(5x + 1) - 6(4x - 3) = 5x
13 - 15x - 3 - 24x + 18 = 5x
-15x - 24x - 5x = -18 + 3 - 13
-44x = -28
x= -28 / (-44)
x= 28/44 (дробь)
6) 4(x + 2) - 0,7 = 2(2x + 4) + 0,3
4x + 8 -0,7 = 4x + 8 + 0,3
4x - 4x = 8 + 0,3 - 8 + 0,7
0x = 1
Нет корней.
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Answers & Comments
1) 9x + 13 = 7x + 5
9x - 7x = 5 - 13
2x = -8
x = -8 / 2
x = -4.
2) 3(2x + 5) + 6 = 3
6x + 15 + 6 = 3
6x = 3 - 15 - 6
6x = -18
x = -18 / 6
x = -3.
3) 5x + 18 = 7x + 6(3x - 7)
5x + 18 = 7x + 18x - 42
5x - 7x - 18x = -42 - 18
-20x = -60
x= -60 / -20
x = 3.
4) 3x - 7(3x - 4) = 5(2x - 7)
3x - 21x + 28 = 10x - 35
3x - 21x - 10x = -35 - 28
-28x = -63
x = -63 / -28
x = 2,4.
5) 13 - 3(5x + 1) - 6(4x - 3) = 5x
13 - 15x - 3 - 24x + 18 = 5x
-15x - 24x - 5x = -18 + 3 - 13
-44x = -28
x= -28 / (-44)
x= 28/44 (дробь)
6) 4(x + 2) - 0,7 = 2(2x + 4) + 0,3
4x + 8 -0,7 = 4x + 8 + 0,3
4x - 4x = 8 + 0,3 - 8 + 0,7
0x = 1
Нет корней.