Question

3(x-2)=5x+3 5x-7(x-3)=4x+5​

Answer 1

Ответ:

3(x-2)=5x+3

3x-6=5x+3

3x-5x=6+3

-2x=9

x=9:(-2)

x=-9/2

x=-4 1/2

5x-7(x-3)=4x+5

5x-7x-21=4x+5x

5x-5x-7x-4x=21

-11x=21

x=21:(-11)

×=-1 10/11

Answer 2

Let's solve each equation step-by-step:

1. 3(x - 2) = 5x + 3

To solve this equation, we'll distribute the 3 on the left side:

3x - 6 = 5x + 3

Now, we want to isolate the variable x on one side of the equation. Let's move all the terms with x to one side and the constant terms to the other side:

3x - 5x = 3 + 6

Combine like terms:

-2x = 9

Finally, divide both sides by -2 to solve for x:

x = 9 / -2

x = -4.5

So the solution to the first equation is x = -4.5.

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

To solve this equation, we'll distribute the -7 on the left side:

5x - 7x + 21 = 4x + 5

Now, let's move all the terms with x to one side and the constant terms to the other side:

5x - 7x - 4x = 5 - 21

Combine like terms:

-6x = -16

Finally, divide both sides by -6 to solve for x:

x = -16 / -6

x ≈ 2.67 (rounded to two decimal places)

So the solution to the second equation is x ≈ 2.67.