Algebra 1 Tutorial
Equations with Variables on Both Sides
To solve an equation that has variables on both sides, use the Addition or Subtraction Properties of Equality to get the variable on one side of the equation.
Solve 6x + 3 = 8x – 21.
6x + 3 = 8x – 21
6x + 3 -6x= 8x – 21 -6x ~Subtract 6x from both sides.
3 = 2x – 21 ~Combine like terms.
3 + 21 = 2x – 21 + 21 ~Add 21 to both sides.
24 = 2x ~Simplify.
24 / 2 = 2x / 2 ~Divide each side by 2.
x = 12 ~Simplify.
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