What is x/2 - x/6 = 4?

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Hi, I'm in year 9 and I really don't know where to start with this algebra question! Please send help!

$\frac{x}{2} - \frac{x}{6} = 4$ $x/2−x/6=4$

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Answer 1 · 2018-04-30T03:18:37

$x = 12$ $x=12$

Because the denominators need to be the same number, so you multiply $\frac{x}{2}$ $x/2$ by $\frac{3}{3}$ $3/3$ and so it will equal

$\frac{3 x}{6} - \frac{x}{6} = 4$ $(3x)/6-x/6=4$

Then, you subtract and it will equal

$\frac{2 x}{6} = 4$ $(2x)/6=4$

Then, you follow PEMDAS and multiply $6$ $6$ on both sides to eliminate the divide by 6, so it would equal

$2 x = 24$ $2x=24$

You divide by $2$ $2$ on both sides and $x$ $x$ will equal $12$ $12$ .