1. Subtract 2 from both sides of the equation
4x + 2 = 7x - 13
4x + 2 - 2 = 7x - 13 - 2
2. Simplify
4x + 2 - 2 = 7x - 13 - 2 -----> 4x = 7x - 13 - 2 -----> 4x = 7x - 15
3. Subtract 7x from both sides of the equation
4x = 7x - 15
4x - 7x = 7x - 15 - 7x
4. Simplify
4x - 7x = 7x - 15 - 7x -----> -3x = 7x - 15 - 7x -----> -3x = -15
5. Divide both sides of the equation by the same term
-3x = -15
-3x/-3 = -15/-3
6. Simplify
-3x/-3 = -15/-3
x = -15/-3
x = 5
7. Solution
x = 5
Hope that helps! :D