An equation is a mathematical statement such that the expression on the left
side of the equals sign (=) has the same value as the expression on the right side.
An example of an equation is - 2000 - (- 6000) = 4000.
One of the terms in an equation may not be know and needs to be determined. Often
this unknown term is represented by a letter such as x. (e.g. - 2000 + x = 4000).
The solution of an equation is finding the value of the unknown x. To find the
value of x we can use the subtractive equation property which says: The two sides of an
equation remain equal if the same number is subtracted from each side. We may also use
the additive equation property which says: The two sides of an equation remain equal
if the same number is added to each side.
x - (- 5000) = 4000
x + 5000 = 4000
x + 5000 - 5000 = 4000 - 5000
x + 0 = - 1000
x = - 1000
Check the answer by substituting the answer ( - 1000) back into the equation.
- 1000 - ( - 5000) = 4000