To find the value of x in the equation 8 = 4x + 2x + 4, we will follow a series of algebraic steps.
Step 1: Simplify the equation
Start by combining the like terms on the right side of the equation. The terms 4x and 2x can be added together:
4x + 2x equals 6x, so our equation now looks like this:
8 = 6x + 4
Step 2: Isolate the variable term
Next, we want to isolate the term that contains x. Subtract 4 from both sides of the equation to eliminate the constant on the right:
8 - 4 = 6x
This simplifies to:
4 = 6x
Step 3: Solve for x
Now, we will solve for x by dividing both sides of the equation by 6:
x = 4 / 6
This simplifies to:
x = 2 / 3
Step 4: Conclusion
Your final answer is:
x = rac{2}{3}
Therefore, the value of x in the equation 8 = 4x + 2x + 4 is rac{2}{3}.