Question

4х-7=2х+7; -5х+10=-7х+20​

Answer 1

1) 4x-2x=7+7
2x=14
x=7

2)-5x+7x=20-10
2x=10
x=5

Answer 2

Let's solve these two equations step by step:

1. 4x - 7 = 2x + 7

First, let's isolate the variable x on one side of the equation. To do that, we can subtract 2x from both sides:

4x - 2x - 7 = 2x - 2x + 7

This simplifies to:

2x - 7 = 7

Now, add 7 to both sides of the equation to isolate 2x:

2x - 7 + 7 = 7 + 7

2x = 14

Finally, divide both sides by 2 to find the value of x:

2x/2 = 14/2

x = 7

So, the solution to the first equation is x = 7.

2. -5x + 10 = -7x + 20

Again, let's isolate the variable x on one side of the equation. Start by adding 7x to both sides:

-5x + 7x + 10 = -7x + 7x + 20

This simplifies to:

2x + 10 = 20

Now, subtract 10 from both sides of the equation to isolate 2x:

2x + 10 - 10 = 20 - 10

2x = 10

Finally, divide both sides by 2 to find the value of x:

2x/2 = 10/2

x = 5

So, the solution to the second equation is x = 5.

To summarize:

1. The solution to the first equation is x = 7.
2. The solution to the second equation is x = 5.