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Solving Equations

Because an equation represents a scale, it can also be manipulated like one. The diagram below shows a simple equation and the steps to solving it.

Initial Equation / Problem x + 23 = 45
 
Subtract 23 from each side x + 23 - 23 = 45 - 23
 
Result / Answer x = 22

The diagram below shows a more complex equation. This equation has both a constant and a variable on each side. Again, to solve this you must keep both sides of the equation equal; perform the same operation on each side to get the variable "x" alone. The steps to solving the equation are shown below.

Initial Equation / Problem: x + 23 = 2x + 45
 
Subtract x from each side x - x + 23 = 2x - x + 45
Result 23 = x + 45
 
Subtract 45 from each side 23 - 45 = x + 45 - 45
Result -22 = x
 
Answer x = -22

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