Solve for X: Finding the Value in 6x × 2 = 24

Because the equation is $6x \times 2 = 24$, not $6x = 24$! You have two factors multiplying x: the 6 and the 2. You must account for both by calculating $6 \times 2 = 12$ first.

They're actually the same thing! Both equal $12x$ due to the commutative property of multiplication. You can rearrange factors in any order: $6x \times 2 = 6 \times 2 \times x = 12x$.

No, the distributive property is for expressions like $6(x + 2)$. Here you have multiplication of factors, so you simply multiply the numbers together: $6 \times 2 = 12$.

Substitute x = 2 back into the original equation: $6(2) \times 2 = 12 \times 2 = 24$. Since this equals 24, your answer is correct!

Then you'd have $\frac{6x}{2} = 24$, which simplifies to $3x = 24$, giving $x = 8$. Division and multiplication give very different results!