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By: Christine Dziedzic

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* The equal sign means that what is on one side is equal to or the same as the other side. * Like variables represent the same unknowns and unlike variables represent different unknowns. * You must remember to follow the order of operations. * You should try to isolate the variable on one side of the equation. * What you do to one side of the equal sign you must do to the other in order to keep the equation is balance. * If you add or subtract to one side of the equation you must do the same to the other side. * If a variable has a coefficient then use the inverse to isolate the variable.

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3x+4-6x=46

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To solve this equation first combine -6x and 3x to get -3x. This can be done because each of the variables represent the same unknown. You do this to simplify the equation. The equation will now look like so: -3x+4=46

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* The equation stands at -3x+4=46, now it is time to combine the constants. * Subtract 4 from both sides of the equation. This is to keep the equation in balance. Like so: -3x+4-4=46-4 Now the equation should look like this: -3x=42

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The equation should look like: -3x=42. All that is left is to isolate x. In order to isolate the x, you must divide by the coefficient of -3. This is because of the inverse relationship. Like so: -3x/-3=42/-3 So now the equation should be in its simplest form X= -14

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Plug your answer in the place of x to see if your answer is correct. The original equation was 3x+4-6x=46. Now we know that x= -14. So substitute x for -14 and make sure the equation works. Once you substitute -14 for x the equation the problem should look like this: 3*-14+4-6*-14=46 -42+4+84=46 46=46 Because this is a true statement, your answer is correct.

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