Question

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

Answer 1

8x-24+1=10x+15-2x
8x-10x+2x=24-1+15
0x=38
x=38:0
x=0

Answer 2

8(х-3)+1=5(2х+3)-2х

8х-24+1=10х+15-2х

8х-10х+2х=15-1+24

0х=38

х=38:0

x=0

Answer 3

To solve the equation 8(x - 3) + 1 = 5(2x + 3) - 2x, follow these steps:

Step 1: Distribute the numbers outside the parentheses to the terms inside the parentheses on both sides of the equation.

8(x - 3) + 1 = 5(2x + 3) - 2x becomes:

8x - 24 + 1 = 10x + 15 - 2x

Step 2: Combine like terms on both sides of the equation.

On the left side, combine 8x and 1:

8x - 24 + 1 = 8x - 23

On the right side, combine 10x and -2x:

10x - 2x = 8x

Now, your equation looks like this:

8x - 23 = 8x

Step 3: Isolate the variable x on one side of the equation. To do this, subtract 8x from both sides:

(8x - 23) - 8x = 8x - 8x

This simplifies to:

-23 = 0

Step 4: Now, we can see that there is no variable x in the equation, and it has simplified to -23 = 0. However, this is a contradiction because -23 does not equal 0.

Therefore, there is no solution to the original equation:

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

The equation is inconsistent, meaning there are no values of x that will make it true.