Решите уравнение: 7 - 3(5x - 3) = -11x.

Привет! Давай решим эти уравнения по порядку. Чтобы решить любое из них, нужно раскрыть скобки, перенести неизвестные ($x$) в одну сторону, а числа — в другую. 1. $7 - 3(5x - 3) = -11x$ $7 - 15x + 9 = -11x$ $16 - 15x = -11x$ $16 = 4x$ $x = 4$ 2. $7x - 15 = 4x - 3(x - 3)$ $7x - 15 = 4x - 3x + 9$ $7x - 15 = x + 9$ $6x = 24$ $x = 4$ 3. $(7x - 8) - (4x - 5) = 15$ $7x - 8 - 4x + 5 = 15$ $3x - 3 = 15$ $3x = 18$ $x = 6$ 4. $16 + 6x = 5(1 - 2x) - 13$ $16 + 6x = 5 - 10x - 13$ $16 + 6x = -8 - 10x$ $16x = -24$ $x = -1.5$ 5. $11 - 5x = 2(3 - 4x) - 16$ $11 - 5x = 6 - 8x - 16$ $11 - 5x = -10 - 8x$ $3x = -21$ $x = -7$ 6. $6 - 5(4x - 1) = 3$ $6 - 20x + 5 = 3$ $11 - 20x = 3$ $-20x = -8$ $x = 0.4$ 7. $-2x = 13 - 3(2x - 5)$ $-2x = 13 - 6x + 15$ $-2x = 28 - 6x$ $4x = 28$ $x = 7$ 8. $3(5x + 8) - 7x = 6x$ $15x + 24 - 7x = 6x$ $8x + 24 = 6x$ $2x = -24$ $x = -12$ 9. $10 - 5(2x - 1) = 7$ $10 - 10x + 5 = 7$ $15 - 10x = 7$ $-10x = -8$ $x = 0.8$ 10. $-5x = 11 - 2(4x - 2)$ $-5x = 11 - 8x + 4$ $-5x = 15 - 8x$ $3x = 15$ $x = 5$ 11. $1 - 4(5 + 2x) = 13$ $1 - 20 - 8x = 13$ $-19 - 8x = 13$ $-8x = 32$ $x = -4$ 12. $(7x - 8) - (2x - 5) = 17$ $7x - 8 - 2x + 5 = 17$ $5x - 3 = 17$ $5x = 20$ $x = 4$ 13. $15 - 4(7 - x) = 11$ $15 - 28 + 4x = 11$ $-13 + 4x = 11$ $4x = 24$ $x = 6$ 14. $\frac{x+9}{7} - \frac{x}{2} = 2$ Умножим все на 14 (общий знаменатель): $2(x+9) - 7x = 28$ $2x + 18 - 7x = 28$ $-5x = 10$ $x = -2$ 15. $3(2 - 3x) + 20 + 3x = 2$ $6 - 9x + 20 + 3x = 2$ $26 - 6x = 2$ $-6x = -24$ $x = 4$ 16. $5 = 12 - 5(4x - 1)$ $5 = 12 - 20x + 5$ $5 = 17 - 20x$ $20x = 12$ $x = 0.6$