Question

1) 5x+6=3x-82) 8x-7=5x+85) 2(x-4)=3(x+1)-73) 2x+1=-54) 5x-120=-X6) 3x-2=-14​

Answer 1

1) 5х+6=3х-8

5х-3х= -8-6

2х= -14|:2

х= -7

2) 8х-7=5х+8

8х-5х=8+7

3х=15|:3

х=5

3) 2(х-4)=3(х+1)-7

2х-8=3х+3-7

2х-3х=3-7+8

-х=4|:(-1)

х= -4

4) 2х+1= -5

2х= -5-1

2х= -6|:2

х= -3

5) 5х-120= -х

5х+х=120

6х=120|:6

х=20

6) 3х-2= -14

3х= -14+2

3х= -12|:3

х= -4

Answer 2

The question seems to be a series of algebraic equations that need to be solved. However, the equations are not clearly presented and are missing some symbols. I'll assume the equations are as follows:

1) 5x + 6 = 3x - 8 2) 8x - 7 = 5x + 8 3) 2(x - 4) = 3(x + 1) - 7 4) 2x + 1 = -5/4 5) 5x - 120 = -x^6 6) 3x - 2 = -14

Let's solve each equation step by step:

1) 5x + 6 = 3x - 8 Subtract 3x from both sides to get 2x + 6 = -8. Subtract 6 from both sides to get 2x = -14. Divide by 2 to solve for x: x = -7.

2) 8x - 7 = 5x + 8 Subtract 5x from both sides to get 3x - 7 = 8. Add 7 to both sides to get 3x = 15. Divide by 3 to solve for x: x = 5.

3) 2(x - 4) = 3(x + 1) - 7 Distribute 2 on the left side to get 2x - 8 = 3x + 3 - 7. Simplify to get 2x - 3x = -4. Subtract 2x from both sides to get -x = -4. Divide by -1 to solve for x: x = 4.

4) 2x + 1 = -5/4 Subtract 1 from both sides to get 2x = -5/4 - 1. Simplify to get 2x = -9/4. Divide by 2 to solve for x: x = -9/8.

5) 5x - 120 = -x^6 This equation is a bit more complex and might require numerical methods or a calculator to solve.

6) 3x - 2 = -14 Add 2 to both sides to get 3x = -12. Divide by 3 to solve for x: x = -4.

Please note that the solutions for equations 5) and 6) are approximations and might not be exact due to the complexity of the equations. For a precise solution, you might need to use a numerical method or a calculator that can handle complex numbers and high-degree polynomials.