Question

1. 3 - 4x = -8x - 5 2. 4(3x + 4) - 5 = -13. 5+ 4(3x + 5) = 2x - 54. 6(2x + 3) - 7(3x - 4) = 14x5.4(3х+7)-6(2х+5)=5х-14(3x + 7) - 6(2x + 5) = 5x - 16. 6(x - 4) + 2,3 = 3(2x - 7) - 8​

Answer 1

1. Х=-2

2. Х=-1

3. Х=-2

4. Х=2

5. Х=-1/5

6. Решения нет, иксы сокращаются

Answer 2

Let's solve each of these equations step by step:

1. $3 - 4x = -8x - 5$

   First, let's simplify the equation: Add $8x$ to both sides: $3 - 4x + 8x = -5$

   Combine like terms: $3 + 4x = -5$

   Now, subtract 3 from both sides to isolate $4x$: $4x = -5 - 3$ $4x = -8$

   Finally, divide both sides by 4 to solve for $x$: $x = -8 / 4$ $x = -2$

2. $4(3x + 4) - 5 = -13$

   First, distribute the 4 on the left side of the equation: $12x + 16 - 5 = -13$

   Next, combine like terms on the left side: $12x + 11 = -13$

   Now, subtract 11 from both sides to isolate $12x$: $12x = -13 - 11$ $12x = -24$

   Finally, divide both sides by 12 to solve for $x$: $x = -24 / 12$ $x = -2$

3. $4(3x + 5) = 2x - 54$

   First, distribute the 4 on the left side of the equation: $12x + 20 = 2x - 54$

   Next, subtract 2x from both sides to move the x terms to the left side: $12x - 2x + 20 = -54$

   Combine like terms: $10x + 20 = -54$

   Now, subtract 20 from both sides to isolate $10x$: $10x = -54 - 20$ $10x = -74$

   Finally, divide both sides by 10 to solve for $x$: $x = -74 / 10$ $x = -7.4$

4. $6(2x + 3) - 7(3x - 4) = 14x$

   First, distribute the constants on both sides of the equation: $12x + 18 - 21x + 28 = 14x$

   Combine like terms on both sides: $-9x + 46 = 14x$

   Now, add $9x$ to both sides to move the x terms to the right side: $46 = 14x + 9x$

   Combine like terms on the right side: $46 = 23x$

   Finally, divide both sides by 23 to solve for $x$: $x = 46 / 23$ $x = 2$

5. $4(3x + 7) - 6(2x + 5) = 5x - 16$

   First, distribute the constants on both sides of the equation: $12x + 28 - 12x - 30 = 5x - 16$

   Combine like terms on both sides: $-2 = 5x - 16$

   Now, add 16 to both sides to isolate $5x$: $-2 + 16 = 5x$ $14 = 5x$

   Finally, divide both sides by 5 to solve for $x$: $x = 14 / 5$ $x = 2.8$

6. $6(x - 4) + 2.3 = 3(2x - 7) - 8$

   First, distribute the constants on both sides of the equation: $6x - 24 + 2.3 = 6x - 21 - 8$

   Combine like terms on both sides: $6x - 21.7 = 6x - 29$

   Now, subtract $6x$ from both sides to isolate the constant terms: $-21.7 = -29$

   Since the equation is contradictory (there is no $x$ that satisfies it), there is no solution.

So, the solutions are:

1. $x = -2$
2. $x = -2$
3. $x = -7.4$
4. $x = 2$
5. $x = 2.8$
6. No solution.