与えられた複数の方程式を解き、$x$ の値を求めます。

1. 問題の内容

与えられた複数の方程式を解き、$x$ の値を求めます。

2. 解き方の手順

各方程式を順番に解いていきます。

(23) $x - 4 = 9$

$x = 9 + 4$

$x = 13$

(24) $x + 8 = 5$

$x = 5 - 8$

$x = -3$

(25) $4x = -24$

$x = -24 / 4$

$x = -6$

(26) $2x - 5 = 3$

$2x = 3 + 5$

$2x = 8$

$x = 8 / 2$

$x = 4$

(27) $4x = 7x + 15$

$4x - 7x = 15$

$-3x = 15$

$x = 15 / (-3)$

$x = -5$

(28) $8x - 10 = x + 4$

$8x - x = 4 + 10$

$7x = 14$

$x = 14 / 7$

$x = 2$

(29) $5x + 2 = 5 + 6x$

$5x - 6x = 5 - 2$

$-x = 3$

$x = -3$

(30) $6x - 1 = 8x - 9$

$6x - 8x = -9 + 1$

$-2x = -8$

$x = -8 / (-2)$

$x = 4$

(31) $x + 2 = -7x + 18$

$x + 7x = 18 - 2$

$8x = 16$

$x = 16 / 8$

$x = 2$

(32) $-4x + 7 = 5x - 2$

$-4x - 5x = -2 - 7$

$-9x = -9$

$x = -9 / (-9)$

$x = 1$

(33) $-6x - 1 = x + 6$

$-6x - x = 6 + 1$

$-7x = 7$

$x = 7 / (-7)$

$x = -1$

(34) $6 - 3x = 9x + 6$

$-3x - 9x = 6 - 6$

$-12x = 0$

$x = 0$

(35) $4 + x = 3x - 2$

$x - 3x = -2 - 4$

$-2x = -6$

$x = -6 / (-2)$

$x = 3$

(36) $9 - 2x = 5 - 6x$

$-2x + 6x = 5 - 9$

$4x = -4$

$x = -4 / 4$

$x = -1$

(37) $12 - 8x = 3x - 10$

$-8x - 3x = -10 - 12$

$-11x = -22$

$x = -22 / (-11)$

$x = 2$

(38) $5x - 4 = 3x - 3$

$5x - 3x = -3 + 4$

$2x = 1$

$x = 1 / 2$

$x = 0.5$

(39) $-3x - 12 = 7x + 3$

$-3x - 7x = 3 + 12$

$-10x = 15$

$x = 15 / (-10)$

$x = -1.5$

(40) $5x - 11 = 5 - 7x$

$5x + 7x = 5 + 11$

$12x = 16$

$x = 16 / 12$

$x = 4/3$

(41) $5(x - 4) = x$

$5x - 20 = x$

$5x - x = 20$

$4x = 20$

$x = 20 / 4$

$x = 5$

(42) $8 - 7x = -6$

$-7x = -6 - 8$

$-7x = -14$

$x = -14 / (-7)$

$x = 2$

(43) $-1 - 3x = 8$

$-3x = 8 + 1$

$-3x = 9$

$x = 9 / (-3)$

$x = -3$

(44) $3(x - 5) = 2(x - 1)$

$3x - 15 = 2x - 2$

$3x - 2x = -2 + 15$

$x = 13$

(45) $5x + 3 = 2(x - 9)$

$5x + 3 = 2x - 18$

$5x - 2x = -18 - 3$

$3x = -21$

$x = -21 / 3$

$x = -7$

(46) $x - 2(2x - 3) = 15$

$x - 4x + 6 = 15$

$-3x = 15 - 6$

$-3x = 9$

$x = 9 / (-3)$

$x = -3$

(47) $5 - 0.6x = 0.8$

$-0.6x = 0.8 - 5$

$-0.6x = -4.2$

$x = -4.2 / (-0.6)$

$x = 7$

(48) $0.1x = 0.24 - 0.02x$

$0.1x + 0.02x = 0.24$

$0.12x = 0.24$

$x = 0.24 / 0.12$

$x = 2$

(49) $\frac{3}{4} x + 5 = \frac{1}{2}$

$\frac{3}{4} x = \frac{1}{2} - 5$

$\frac{3}{4} x = \frac{1}{2} - \frac{10}{2}$

$\frac{3}{4} x = -\frac{9}{2}$

$x = -\frac{9}{2} * \frac{4}{3}$

$x = -\frac{36}{6}$

$x = -6$

(50) $\frac{x+3}{2} = \frac{x-1}{5}$

$5(x+3) = 2(x-1)$

$5x + 15 = 2x - 2$

$5x - 2x = -2 - 15$

$3x = -17$

$x = -\frac{17}{3}$

3. 最終的な答え

(23) $x = 13$

(24) $x = -3$

(25) $x = -6$

(26) $x = 4$

(27) $x = -5$

(28) $x = 2$

(29) $x = -3$

(30) $x = 4$

(31) $x = 2$

(32) $x = 1$

(33) $x = -1$

(34) $x = 0$

(35) $x = 3$

(36) $x = -1$

(37) $x = 2$

(38) $x = 0.5$

(39) $x = -1.5$

(40) $x = 4/3$

(41) $x = 5$

(42) $x = 2$

(43) $x = -3$

(44) $x = 13$

(45) $x = -7$

(46) $x = -3$

(47) $x = 7$

(48) $x = 2$

(49) $x = -6$

(50) $x = -\frac{17}{3}$