200. Решите уравнение: 1) 4x = 24 + x; 2) 8x - 8 = 20 - 6x; 3) 9 - 4x = 3x – 40; 4) 0,6x – 5,4 = -0,8x + 5,8; 5) 4,7 - 1,1x = 0,5x – 3,3; 6) $$\frac{5}{6}x + 16 = \frac{4}{9}x + 9$$.

Решение: 1) $$4x = 24 + x$$ $$4x - x = 24$$ $$3x = 24$$ $$x = \frac{24}{3}$$ $$\bold{x = 8}$$ 2) $$8x - 8 = 20 - 6x$$ $$8x + 6x = 20 + 8$$ $$14x = 28$$ $$x = \frac{28}{14}$$ $$\bold{x = 2}$$ 3) $$9 - 4x = 3x - 40$$ $$-4x - 3x = -40 - 9$$ $$-7x = -49$$ $$x = \frac{-49}{-7}$$ $$\bold{x = 7}$$ 4) $$0,6x - 5,4 = -0,8x + 5,8$$ $$0,6x + 0,8x = 5,8 + 5,4$$ $$1,4x = 11,2$$ $$x = \frac{11,2}{1,4}$$ $$x = \frac{112}{14}$$ $$\bold{x = 8}$$ 5) $$4,7 - 1,1x = 0,5x - 3,3$$ $$-1,1x - 0,5x = -3,3 - 4,7$$ $$-1,6x = -8$$ $$x = \frac{-8}{-1,6}$$ $$x = \frac{80}{16}$$ $$\bold{x = 5}$$ 6) $$\frac{5}{6}x + 16 = \frac{4}{9}x + 9$$ $$\frac{5}{6}x - \frac{4}{9}x = 9 - 16$$ $$\frac{15}{18}x - \frac{8}{18}x = -7$$ $$\frac{7}{18}x = -7$$ $$x = -7 : \frac{7}{18}$$ $$x = -7 \cdot \frac{18}{7}$$ $$\bold{x = -18}$$