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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