1) 4x + 5 = 2x - 7
4x - 2x = -5 - 7
2x = -12
x = -6
2) 5x - 7 = 13
5x = 13 + 7
5x = 20
x = 4
3) 3 * (x + 2) = 2 * (x + 2)
3x + 6 = 2x + 4
3x - 2x = -6 + 4
x = -2
4) 2x - 4 = 8 + 2x
2x - 2x = 8 + 4
0 ≠ 12
уравнение не имеет решения.
5) 4x + 6 = 2 * (2x + 3)
4x + 6 = 4x + 6
4x - 4x = -6 + 6
0 = 0
у этого уравнения множество решений.
6) 3x + 4 = 7x - 8
3x - 7x = -4 - 8
-4x = -12
x = 3
7) 2x - 3 = 10
2x = 10 + 3
2x = 13
x = 6.5
8) 2 * (x + 1) = 3 * (x + 1)
2x + 2 = 3x + 3
2x - 3x = -2 + 3
-x = 1
x = -1
9) 3x - 5 = 3 + 3x
3x - 3x = 3 + 5
0 ≠ 8
10) 3x + 6 = 3 * (x + 2)
3x + 6 = 3x + 6
3x - 3x = -6 + 6
11) 5x + 1 = 3x + 1
5x - 3x = -1 + 1
2x = 0
x = 0
12) 6x - 1 = 11
6x = 11 + 1
6x = 12
x = 2
13) x - 1 = 7 * (x - 1)
x - 1 = 7x - 7
x - 7x = 1 - 7
-6x = -6
x = 1
14) x - 2 = 1 + 4x
x - 4x = 1 + 2
-3x = 3
15) 5x + 5 = 5 * (x - 1)
5x + 5 = 5x - 5
5x - 5x = -5 - 5
0 ≠ -10
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Answers & Comments
1) 4x + 5 = 2x - 7
4x - 2x = -5 - 7
2x = -12
x = -6
2) 5x - 7 = 13
5x = 13 + 7
5x = 20
x = 4
3) 3 * (x + 2) = 2 * (x + 2)
3x + 6 = 2x + 4
3x - 2x = -6 + 4
x = -2
4) 2x - 4 = 8 + 2x
2x - 2x = 8 + 4
0 ≠ 12
уравнение не имеет решения.
5) 4x + 6 = 2 * (2x + 3)
4x + 6 = 4x + 6
4x - 4x = -6 + 6
0 = 0
у этого уравнения множество решений.
6) 3x + 4 = 7x - 8
3x - 7x = -4 - 8
-4x = -12
x = 3
7) 2x - 3 = 10
2x = 10 + 3
2x = 13
x = 6.5
8) 2 * (x + 1) = 3 * (x + 1)
2x + 2 = 3x + 3
2x - 3x = -2 + 3
-x = 1
x = -1
9) 3x - 5 = 3 + 3x
3x - 3x = 3 + 5
0 ≠ 8
уравнение не имеет решения.
10) 3x + 6 = 3 * (x + 2)
3x + 6 = 3x + 6
3x - 3x = -6 + 6
0 = 0
у этого уравнения множество решений.
11) 5x + 1 = 3x + 1
5x - 3x = -1 + 1
2x = 0
x = 0
12) 6x - 1 = 11
6x = 11 + 1
6x = 12
x = 2
13) x - 1 = 7 * (x - 1)
x - 1 = 7x - 7
x - 7x = 1 - 7
-6x = -6
x = 1
14) x - 2 = 1 + 4x
x - 4x = 1 + 2
-3x = 3
x = -1
15) 5x + 5 = 5 * (x - 1)
5x + 5 = 5x - 5
5x - 5x = -5 - 5
0 ≠ -10
уравнение не имеет решения.