 SOLVING LINEAR EQUATIONS • A linear equation is a polynomial of degree 1.

• In order to solve for the unknown variable, you must isolate the variable.

• In the order of operation, multiplication and division are completed before addition and subtraction.

LINEAR EQUATIONS - Solve for x in the following equation.

Example 2:

4 x - 6 = 12 x - 30

Subtract 4x from both sides of the equation: Add 30 to both sides of the equation Divide both sides by 8: The answer is x = 3

Check the solution by substituting 3 in the original equation for x. If the left side of the equation equals the right side of the equation after the substitution, you have found the correct answer.

• Left side: 4(3) - 6 = 6

• Right side: 12(3) - 30 = 6

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If you would like to test yourself by working some problems similar to this example, click problem.

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