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 