Solution:

To solve the equation 2x - 3 = 7, we need to isolate the variable x on one side of the equation. This can be done by performing mathematical operations to both sides of the equation.

Step 1: Add 3 to both sides of the equation to eliminate the constant term -3 on the left side.

2x - 3 + 3 = 7 + 3

Simplifying the equation, we get:

2x = 10

Step 2: Divide both sides of the equation by 2 to isolate the variable x.

2x/2 = 10/2

Simplifying the equation further, we have:

x = 5

Therefore, the solution to the equation 2x - 3 = 7 is x = 5.

Summary:
To find the solution of the equation 2x - 3 = 7, we followed two steps: adding 3 to both sides of the equation to eliminate the constant term -3, and then dividing both sides of the equation by 2 to isolate the variable x. By performing these operations, we found that x = 5 is the solution to the given equation.

2x-3=7
2x=7+3
2x=10
x=10/2 or x=10÷2
therefore x= 5