Question

3x + 4 = 7x - 8:20 - 3 = 10:2(x + 1) = 3(x + 1) :3.x _5 = 3 + 3x:3x + 6 = 3(x + 2).​

Answer 1

Ответ:

1) x = 3

2) ???

3) x = -1

4) 0 = 8.

5) 0 = 0

Объяснение:

1) 3x + 4 = 7x - 8

3x - 7x = - 4 - 8

- 4x = - 12

x = 3

3) 2(x + 1) = 3(x + 1)

2x + 2 = 3x + 3

2x - 3x = 3 - 2

-x = 1

x = -1

4) 3x - 5 = 3 + 3x

3x - 3x = 5 + 3

0 = 8

5) 3x + 6 = 3(x + 2)

3x + 6 = 3x + 6

3x - 3x = -6 + 6

0 = 0

Answer 2

It looks like you've provided a series of equations. I'll help you solve each of them step by step:

1. $3x + 4 = 7x - 8$

   First, let's isolate the variable $x$ on one side of the equation:

   Subtract $3x$ from both sides: $4 = 4x - 8$

   Add $8$ to both sides: $12 = 4x$

   Finally, divide by $4$: $x = 3$

2. $20 - 3 = 10:2(x + 1)$

   Solve the operations inside the parentheses first: $17 = 10:2(x + 1)$

   Divide $10$ by $2$: $17 = 5(x + 1)$

   Divide both sides by $5$: $3.4 = x + 1$

   Subtract $1$ from both sides: $x = 2.4$

3. $3(x + 1) = 3(x + 1)$

   This equation is an identity, which means it's true for all values of $x$.

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

   Subtract $3x$ from both sides: $-5 = 3$

   This equation has no solution, as $-5$ cannot equal $3$.

5. $3x + 6 = 3(x + 2)$

   Distribute on the right side: $3x + 6 = 3x + 6$

   This equation is also an identity and holds true for all values of $x$.

In summary:

1. $x = 3$
2. $x = 2.4$
3. Identity (true for all $x$)
4. No solution
5. Identity (true for all $x$)