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Maths Gcse Aqa Foundation

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Exam code:8300

Unknown on both sides

How do I solve linear equations with x terms on both sides?

  • If a linear equation contains the unknown variable on both sides, collect the x terms together on one side 

    • To do this, choose a side you wish to remove the x term from

      •  this should be the side with the lowest value x term

    • Apply the opposite of that term to both sides

  • For example, solve 4 x minus 7 equals 11 plus x

  • Let’s remove the x term on the right-hand side

  • x has been added, so subtract x from both sides 

table row cell 4 x minus 7 end cell equals cell 11 plus x end cell end table

table row blank blank cell open parentheses negative x close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open parentheses negative x close parentheses end cell end table

table row cell 3 x minus 7 end cell equals 11 end table

  • There are no longer any x terms on the right

  • The 4 has become 3

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