Solve for X in the Linear Equation: 33x-11x=66

To solve the given linear equation $33x - 11x = 66$, we will follow these steps:

• Simplify the equation by combining like terms.
• Isolate the variable $x$ to find its value.

Here's how we approach it:

Step 1: Combine like terms on the left-hand side of the equation.

We have $33x - 11x$. By combining these terms, we calculate:

$33x - 11x = (33 - 11)x = 22x$.

Our equation now simplifies to $22x = 66$.

Step 2: Isolate $x$ by dividing both sides of the equation by 22.

When we divide both sides of the equation by 22, we get:

$x = \frac{66}{22}$.

By performing the division, we find $x = 3$.

Therefore, the value of $x$ that satisfies the equation $33x - 11x = 66$ is $x = 3$.