How do you solve the equation 62x + 42 = 2x + 4?

To solve the equation 62x + 42 = 2x + 4, we will first aim to isolate the variable x.

1. Start by getting all terms with x on one side of the equation and constant terms on the other side. To do this, subtract 2x from both sides:

62x - 2x + 42 = 4

This simplifies to:

60x + 42 = 4

2. Next, isolate the 60x term by subtracting 42 from both sides:

60x = 4 - 42

Which simplifies to:

60x = -38

3. Now, divide both sides by 60 to solve for x:

x = -38 / 60

4. Simplifying the fraction gives:

x = -19 / 30

Thus, the solution to the equation is x = -19/30.