An equation is defined as a mathematical statement. An equation has two expressions, each expression is separated by an equal sign (=). An equation can have variables on both sides of the "=" sign.

Given below are some examples on equations:
  • $x = 52$
  • $x = 5 + 2$
  • $5x + 43 = 7x$
  • $7x + 233 = 77$
  • $5x - 23 = 67$

Equations can be solved by following the steps given below:
  • Group the unknown variables to the left hand side of the equation by adding or subtracting terms on both the sides of the equation
  • Group the numerical terms to the right hand side of the equation
  • Divide both sides of the equation with the coefficient of the unknown variable.
  • The result is the value of the unknown variable.

Examples on Solving Equations:


Given below are some examples that explain how to solve equations.

Example 1:

7x = 6x +1

Solution:

7x = 6x +1

7x - 6x = 6x - 6x + 1 (Subtract 6x from both the sides of the equation.)

x = 1

Example 2:

12x - 6 = 6x + 12

Solution:

12x - 6 = 6x + 12

12x - 6x - 6 = 6x -6x + 12 (Subtract 6x from both the sides of the equation.)

6x - 6 = 12

6x - 6 + 6 = 12 + 6 (Subtract 6 from both sides of the equation)

6x = 18

$\frac{6x}{6}$ = $\frac{18}{6}$ (Divide by 6 on both sides)

x = 3

Example 3:

3x + 5x = 4

Solution:

3x + 5x = 4

8x = 4

x = $\frac{1}{2}$