Basic Algebra

Basic Algebra Algebra is one of the very prominent and important branches of mathematics. Basic algebra also has equations with unknown variables and it involvessolving for the unknown variable. Variable is an element which is inconsistent and unlike constants, it keeps changing its values according to the situation. There are many methods to solve for unknown variables in a given algebraic equation. Example 1:Given is a basic algebraic equation, 6x 3 = 4x + 11. Solve the equation to get thevalue of x. To solve for x, we have to add/subtract few terms on both sides of the equation. Subtract 4x on both sides to balance equation 6x 34x = 4x + 114x Now, combine the like terms, this gives 2x 3 = 11 Add 3 on both sides: 2x 3 +3 = 11+3 Combine the like terms: 2x= 14 Divide 2 on both sides: 2x/2 = 14/2 The answer is: x = 7. Example 2: Given is a basic algebraic equation, 8x 5 = 3x + 20 Solve the equation to get the value of x. To solve for x, we have to add/subtract few terms on both side of the equation. Subtract 3x on both sides to balance equation 8x 53x = 3x + 20 3x Now, combine the like terms, this gives 5x 5 = 20 Add 5 on both sides: 5x 5 + 5= 20 + 5 Combine the like terms:5x= 25 Divide 5 on both sides:5x/5= 25/5 The answer is: x = 5.