Question

4x+5=2x-7 5x-7=13 3(x+2)=2(x+2) 2x-4=8+2x 4x+6=2(2x+3)

Answer 1

4х+5=2х-7
4х-2х=-5-7
2х=-12
х=-12:2
х=-6

5х-7=13
5х=7+13
5х=20
х=20:5
х=4

3(х+2)=2(х+2)
3х+6=2х+4
3х-2х= -6+4
х=-2

2х-4=8+2х
2х-2х=4+8
0=12
х-нет корней

4х+6=2(2х+3)
4х+6=4х+6
4х-4х=-6+6
0=0
х-любое число

Answer 2

It looks like you've provided a list of equations. Let's go through each of them one by one and solve for the variable 'x' where possible:

1. 4x + 5 = 2x - 7

   Subtract 2x from both sides: 2x + 5 = -7

   Subtract 5 from both sides: 2x = -12

   Divide by 2: x = -6

2. 5x - 7 = 13

   Add 7 to both sides: 5x = 20

   Divide by 5: x = 4

3. 3(x + 2) = 2(x + 2)

   Distribute on both sides: 3x + 6 = 2x + 4

   Subtract 2x from both sides: x + 6 = 4

   Subtract 6 from both sides: x = -2

4. 2x - 4 = 8 + 2x

   Subtract 2x from both sides: -4 = 8

   This equation is inconsistent and has no solution. It seems there might have been an error in transcribing the equation.

5. 4x + 6 = 2(2x + 3)

   Distribute on the right side: 4x + 6 = 4x + 6

   Subtract 4x from both sides: 6 = 6

   This equation is an identity, meaning it's true for all values of x. Therefore, there's no specific solution to find.

To summarize:

• Equation 1: x = -6
• Equation 2: x = 4
• Equation 3: x = -2
• Equation 4: No solution (inconsistent equation)
• Equation 5: Identity (true for all x)