An equation is the equality of the values of two expressions.
For example : Solve 2x – 3 = x + 2
Solution : 2x = x + 2 + 3
or 2x = x + 5
or 2x – x = x + 5 – x (subtracting x from both sides)
or x = 5 (solution)
Here we subtracted from both sides of the equation, not a number (constant), but a term involving the variable.
Shaalaa.com | Solving Equations having the Variable on both Sides
If you subtract `1/2` from a number and multiply the result by `1/2`, you get `1/8`. What is the number?
The base of an isosceles triangle is `4/3` cm. The perimeter of the triangle is `4 2/15` cm. What is the length of either of the remaining equal sides?