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42 votes
4. Solve this equation. Explain or show your reasoning. 1 1 x - 7 2*- (x - 12) 3

User Cwoebker
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1 Answer

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27 votes

Solve this equation.

1/2 x - 7 = 1/3 (x - 12) ​

Explain or show your reasoning.

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1/2 x - 7 = 1/3 (x - 12) ​

1. Arrange the equality to put the x on one side (it doesn't matter if they are fractions or not)

1/2 x - 7 = 1/3 (x - 12) ​

1/2 x -7 = 1/3 x - 1/3*(12)

1/2 x - 1/3 x = 7 - 4

(1/2 - 1/3) x= 3

( (3 - 2) /6) x = 3

1/6 x = 3

Multiplying by 6

1/6 * 6 x = 3*6

1x = 18

x= 18

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Answer

x= 18

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Verifying

1/2 (18 )- 7 = 1/3 (18- 12) ​

2= 2

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User Ramon Vicente
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