How do you solve an algebraic equation?

To solve an algebraic equation you need to rearrange it into the format x=? To do this there are a few rules and few steps

Rules:

  • whatever you add or subtract to one side you must also do to the other side

  • if you multiply or divide one side you must also multiply or divide the other side by the same factor

Steps:

  1. expand out any brackets

e.g. you can rewrite 2(x+3)=10 as 2x+6=10

  1. Get rid of any added or subtracted numbers from the side with the x on by doing the inverse

e.g. you would subtract 6 from both sides to rewrite 2x+6=10 as 2x=4

  1. Divide or multiply both sides to give you x on it's own (as supposed to 2x or 3x e.c.t.)

e.g. you would divide both sides by 2 to rewrite 2x=4 as x=2

Answered by Ruth W. Maths tutor

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