The trial and error method, balancing method and the transposing method are used to isolate the variable. Use any one of the following techniques to simplify the linear equation and solve for the unknown variable. Use the division property of equality, 2x/2 = 12/2 Group the like terms together using the transposing method. We simplify the LHS using the distributive property. isolate the variable and get the solution.Make the coefficient of the variable as 1, using the multiplication or division properties of equality.Bring the variable terms to one side of the equation and the constant terms to the other side using the addition and subtraction properties of equality.If there are decimals, multiply both sides of the equation by the lowest power of 10 to convert them into whole numbers.If there are fractions, multiply both sides of the equation by the LCD (Least common denominator) of all the fractions.Simplify both sides of the equation by combining like terms.Remove the parenthesis and use the distributive property if required.The following steps are followed while solving an equation that is linear. If a = b, then a/c = b/c (where c ≠ 0)Īfter performing this systematic balancing method of solving an equation by a series of identical arithmetical operations on both sides of the equation, we separate the variable on one of the sides and the ultimate step is the solution of the equation.Ī linear equation of one variable is of the form ax + b = 0, where a, b, c are real numbers. Division property of equality: Divide by the same number on both sides.Multiplication property of equality: Multiply the same number on both sides.Subtraction property of equality: Subtract the same number from both sides.Addition property of equality: Add the same number to both the sides. By doing so LHS remains equal to RHS, and eventually, the balance remains undisturbed throughout. To isolate the variable, the following operations are performed still balancing the equation on both sides. The aim of solving an equation is to find the value of the variable that satisfies the condition of the equation true.
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