solvingequationsvariablebothsides
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Solving Equations with Variables on Both Sides
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Steps to Solve Equations with Variables on Both Sides
(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal
sign.★ Same Side, Same Operation
(3) Get variables to one side of =. Moving the smallest will avoid dividing by a negative.★ Opposite Side, Opposite Operation
(4) Isolate term with variable.★ Opposite Side, Opposite Operation
(5) Multiply or Divide to get coefficient of variable to 1.
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Solve:✦ Variables together
Opposite side = Opposite operation
✦ Moving the smallest avoids dividing by a negative.
✦ Isolate variable term. ✦ Divide by variables
coefficient to make coefficient of variable 1.
2a 3 5a 8
3 3a 8 2a 2a
8 85 3a 3 3 53
a
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Solve:✦ Distribute.✦ Variables together,
moving smallest. Opposite side = Opposite operation
✦ Isolate variable term. ✦ Divide to make
coefficient of variable 1.
3 x 2 7 x 5
4x 6 357x 7x
6 64x 41 4 4
x 414
3x 6 7x 35