Решите уравнение: 1 - 2(5 + 3x) = 15.

Привет! Давай решим эти линейные уравнения. Правило простое: раскрываем скобки, переносим слагаемые с $x$ в одну сторону, а числа в другую. 1. $1 - 2(5 + 3x) = 15$ $1 - 10 - 6x = 15$ $-9 - 6x = 15$ $-6x = 15 + 9$ $-6x = 24$ $x = -4$ 2. $8 - 5(8 + 3x) = 13$ $8 - 40 - 15x = 13$ $-32 - 15x = 13$ $-15x = 13 + 32$ $-15x = 45$ $x = -3$ 3. $2 - 3(7 + 2x) = 11$ $2 - 21 - 6x = 11$ $-19 - 6x = 11$ $-6x = 11 + 19$ $-6x = 30$ $x = -5$ 4. $2 - 3(2 + 3x) = 14$ $2 - 6 - 9x = 14$ $-4 - 9x = 14$ $-9x = 18$ $x = -2$ 5. $x - 2(3x + 2) = 16$ $x - 6x - 4 = 16$ $-5x = 16 + 4$ $-5x = 20$ $x = -4$ 6. $3x - 2(3x + 4) = 10$ $3x - 6x - 8 = 10$ $-3x = 10 + 8$ $-3x = 18$ $x = -6$ 7. $2x - 3(3x + 1) = 11$ $2x - 9x - 3 = 11$ $-7x = 14$ $x = -2$ 8. $3x - 2(3x - 2) = 19$ $3x - 6x + 4 = 19$ $-3x = 19 - 4$ $-3x = 15$ $x = -5$ 9. $-4x = 15 - 3(3x - 5)$ $-4x = 15 - 9x + 15$ $-4x + 9x = 30$ $5x = 30$ $x = 6$ 10. $-7x = 13 - 2(8x - 7)$ $-7x = 13 - 16x + 14$ $-7x + 16x = 27$ $9x = 27$ $x = 3$ 11. $-5x = 11 - 2(4x - 2)$ $-5x = 11 - 8x + 4$ $-5x + 8x = 15$ $3x = 15$ $x = 5$ 12. $7 - 3(5x - 3) = -11x$ $7 - 15x + 9 = -11x$ $16 - 15x = -11x$ $16 = 15x - 11x$ $16 = 4x$ $x = 4$