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

Like terms are terms with the same variable and exponent. In $33x - 11x$, both terms have the variable x raised to the first power, so they're like terms that can be combined.

Because the equation isn't $33x = 66$! You have $33x - 11x = 66$. The subtraction changes everything. You must combine the left side first to get $22x = 66$.

Think of it like this: $33x - 11x = (33 - 11)x = 22x$. You're factoring out the x and subtracting the coefficients: 33 - 11 = 22.

The process stays the same! For example, with $47x - 23x$, you'd get $(47 - 23)x = 24x$. Just subtract the coefficients and keep the variable.

Absolutely! Substitute your answer back into the original equation. If $33(3) - 11(3) = 66$ gives you 99 - 33 = 66, then x = 3 is correct!