Розв’яжи рівняння:
1) 7x + 1 = –6;
2) 10x = 5x + 7;
3) 12x + 4 = 7 – 8x;
4) $\frac{1}{8}$x - 4 = 9 - $\frac{7}{8}$x;
5) 9(x – 3) = –(x + 4);
6) 7(x – 2) = 4x.
Розв'язок:
1) $7x + 1 = -6$
$7x = -6 - 1$
$7x = -7$
$x = -7 : 7$
$x = -1$;
2) $10x = 5x + 7$
$10x - 5x = 7$
$5x = 7$
$x = 7 : 5$
$x = 1{,}4$;
3) $12x + 4 = 7 - 8x$
$12x + 8x = 7 - 4$
$20x = 3$
$x = 3 : 20$
$x = 0{,}15$;
4) $\frac{1}{8}x - 4 = 9 - \frac{7}{8}x$
$\frac{1}{8}x + \frac{7}{8}x = 9 + 4$
$x = 13$;
5) $9(x - 3) = -(x + 4)$
$9x - 27 = -x - 4$
$9x + x = 27 - 4$
$10x = 23$
$x = 23 : 10$
$x = 2{,}3$;
6) $7(x - 2) = 4x$
$7x - 14 = 4x$
$7x - 4x = 14$
$3x = 14$
$x = 14 : 3$
$x = \frac{14}{3} = 4\frac{2}{3}$.