1) 24x+8=15x-100 2) 76-45x=94x-341 3) 78+39x=306-18x 4) 62x-256=114-38x 5) 351-92x=51-72x 6) 229-43x=62x-44

Решение уравнений:

1. \[ 24x + 8 = 15x - 100 \]
\[ 24x - 15x = -100 - 8 \]
\[ 9x = -108 \]
\[ x = \frac{-108}{9} \]
\[ x = -12 \]
Ответ: \[ x = -12 \]

2. \[ 76 - 45x = 94x - 341 \]
\[ 76 + 341 = 94x + 45x \]
\[ 417 = 139x \]
\[ x = \frac{417}{139} \]
\[ x = 3 \]
Ответ: \[ x = 3 \]

3. \[ 78 + 39x = 306 - 18x \]
\[ 39x + 18x = 306 - 78 \]
\[ 57x = 228 \]
\[ x = \frac{228}{57} \]
\[ x = 4 \]
Ответ: \[ x = 4 \]

4. \[ 62x - 256 = 114 - 38x \]
\[ 62x + 38x = 114 + 256 \]
\[ 100x = 370 \]
\[ x = \frac{370}{100} \]
\[ x = 3.7 \]
Ответ: \[ x = 3.7 \]

5. \[ 351 - 92x = 51 - 72x \]
\[ -92x + 72x = 51 - 351 \]
\[ -20x = -300 \]
\[ x = \frac{-300}{-20} \]
\[ x = 15 \]
Ответ: \[ x = 15 \]

6. \[ 229 - 43x = 62x - 44 \]
\[ -43x - 62x = -44 - 229 \]
\[ -105x = -273 \]
\[ x = \frac{-273}{-105} \]
\[ x = \frac{91}{35} = \frac{13}{5} = 2.6 \]
Ответ: \[ x = 2.6 \]