Решите уравнение:
1) 7x = −30 + 2x;
2) 16 − 18x = −25x − 12;
3) −17x + 20 = 7x − 28;
4) 20 − 2x = 27 + x;
5) 0,2x + 4,3 = 0,4x − 6,5;
6) 0,6x + 100 = 0,9x + 1;
7) $-\frac{9}{14}x + 18 = -\frac{2}{3}x + 17$;
8) $-\frac{8}{15}x - 11 = \frac{4}{9}x + 11$.
7x = −30 + 2x
7x − 2x = −30
5x = −30
x = −30 : 5
x = −6
16 − 18x = −25x − 12
−18x + 25x = −12 − 16
7x = −28
x = −28 : 7
x = −4
−17x + 20 = 7x − 28
−17x − 7x = −28 − 20
−24x = −48
x = −48 : (−24)
x = 2
20 − 2x = 27 + x
−2x − x = 27 − 20
−3x = 7
$x = -\frac{7}{3} = -2\frac{1}{3}$
0,2x + 4,3 = 0,4x − 6,5
0,2x − 0,4x = −6,5 − 4,3
−0,2x = −10,8
x = −10,8 : (−0,2)
x = 54
0,6x + 100 = 0,9x + 1
0,6x − 0,9x = 1 − 100
−0,3x = −99
x = −99 : (−0,3)
x = 330
$-\frac{9}{14}x + 18 = -\frac{2}{3}x + 17$
$-\frac{9}{14}x + \frac{2}{3}x = 17 - 18$
$-\frac{27}{42}x + \frac{28}{42}x = -1$
$\frac{1}{42}x = -1$
$x = -1 : \frac{1}{42}$
$x = -1 * \frac{42}{1}$
x = −42
$-\frac{8}{15}x - 11 = \frac{4}{9}x + 11$
$-\frac{8}{15}x - \frac{4}{9}x = 11 + 11$
$-\frac{24}{45}x - \frac{20}{45}x = 22$
$-\frac{44}{45}x = 22$
$x = 22 : (-\frac{44}{45})$
$x = 22 * (-\frac{45}{44})$
$x = 1 * (-\frac{45}{2})$
$x = -22\frac{1}{2}$
Пожауйста, оцените решение