Equality is kept when x is multiplied or divided by both sides of an equation. This means that you can multiply/divide a value why whatever you want, as long as you do so on both sides of an equals sign.
The ordering of terms does not matter when adding elements together, as long as the final product reflects all terms.
The grouping of terms does not matter as long as the final product reflects all terms
The product between a constant and a sum is the same as the sum of the addends after being multiplied in turn by the constant.
To take the reciprocal of a fraction simply flip the numerator with the denominator. Doing this turns the operation from division into multiplication (and back).
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