3x - 1 = 2x + 3

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The first thing you have to do is combine the variable terms.2x is the smallest variable term, so it is variable term A. Therefore, we must subtract it from itself and from 3x(variable term B).

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3x - 1 = 2x + 3

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- 2x - 2x =

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1x - 1 = 3

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Then, we carry on as if it was a regular equation. We must get rid of the constant that is not the answer ( by itself ). In this equation, it is -1. Because Subtraction is being used in the equation, we must use Addition to solve it, so we end up adding 1 to both sides of the equal sign.

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1x - 1 = 3

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+1 +1 =

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1x = 4

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Finally we must get rid of the coefficiant.1 is the coefficient in this example.It was being multiplyed in the original equation, so in order to solve it, we must divide both sides by one.

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1x = 4

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1 1 =

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x = 4

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To check our answer/ solution we must apply it into the equation. We substitute x for 4. 3 x 4 is 12, and 12 - 1 is 11. 2 x 4 is 8 and 8 = 3 is also 11. 11 does equal 11 so our solution is correct!

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Check your answer:

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3 x 4 = 12

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12 - 1 = 11

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2 x 4 = 8

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8 + 3 = 11

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11 = 11

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Answer is correct!

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Chapter 3 Study Guide