Question

5) 9х-2=4(х+7) ; ; 7) 8(9+2х)-5(1-3х)=5;

Answer 1

5) 9х - 2 = 4х + 28
5х = 30
х = 6

7) 72 + 16х - 5 + 15х = 5
62 = -31х
х = -2

Answer 2

Let's solve both equations step by step:

5. 9x - 2 = 4(x + 7)

First, distribute the 4 on the right side of the equation:

9x - 2 = 4x + 28

Now, let's isolate the x terms by moving 4x to the left side of the equation and 2 to the right side:

9x - 4x = 28 + 2

Combine like terms:

5x = 30

Now, divide both sides by 5 to solve for x:

x = 30 / 5 x = 6

So, the solution to the equation is x = 6.

7. 8(9 + 2x) - 5(1 - 3x) = 5

First, distribute the numbers inside the parentheses:

72 + 16x - 5 + 15x = 5

Now, combine like terms on the left side of the equation:

72 - 5 + 16x + 15x = 5

67 + 31x = 5

Now, isolate the term with x by moving 67 to the right side of the equation:

31x = 5 - 67

31x = -62

Finally, divide both sides by 31 to solve for x:

x = -62 / 31

So, the solution to the equation is x = -62/31.