The given equation to solve is:

$4x - 2 = 6$

Step-by-step solution:

1. Isolate the term with $x$: Add 2 to both sides of the equation to eliminate the constant on the left side: $4x - 2 + 2 = 6 + 2$ Simplifying: $4x = 8$

2. Solve for $x$: Divide both sides by 4 to isolate $x$: $x = \frac{8}{4}$ Simplifying: $x = 2$

Final Answer:

$x = 2$

You can check by substituting $x = 2$ back into the original equation: $4(2) - 2 = 8 - 2 = 6$ Since both sides are equal, the solution is correct.

Would you like further details or have any questions?

Here are 5 related questions:

1. How do you solve equations with variables on both sides?
2. How would you solve an equation with fractions, like $\frac{4x}{3} - 2 = 6$?
3. What changes if you have an inequality instead of an equation?
4. How do you check if your solution for an equation is correct?
5. How would you solve $4x - 2 = 6$ if you had decimals instead of integers?

Tip: Always perform the inverse operation to isolate the variable when solving linear equations.