2x+7=5x-23

Answer 1

To solve the equation 2x + 7 = 5x - 23, we need to isolate the variable x on one side of the equation.

First, let's subtract 2x from both sides to eliminate the x term from the left side of the equation:

2x + 7 - 2x = 5x - 23 - 2x

Simplifying the left side gives:

7 = 3x - 23

Next, let's add 23 to both sides to eliminate the constant term from the right side of the equation:

7 + 23 = 3x - 23 + 23

Simplifying the right side gives:

30 = 3x

Finally, divide both sides by 3 to solve for x:

30/3 = 3x/3

Simplifying gives:

10 = x

Therefore, the solution to the equation 2x + 7 = 5x - 23 is x = 10.