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What is m in the equation 2m/5 = 1/3 (2m - 12) ? Please show steps

Sagot :

luana
[tex]\frac{2m}{5}=\frac{1}{3}(2m-12)\\\\ \frac{2m}{5}=\frac{2}{3}m-\frac{12}{3}\ \ \ |Multiply\ by\ 15\\\\ 6m=10m-60\ \ \ |Subtract\ 10m\\\\ -4m=-60\ \ \ |Divide\ by\ -4\\\\ m=15\\\\Solution\ is\ m=15.[/tex]
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2m/5 = 1/3 (2m - 12)

First, distribute on the right side of the equal sign.

2m/5 = 1/3 (2m - 12)
 
2m/5 = 2/3m -4

Then, get rid of the fraction on the left side of the equal sign, by multiplying the 5 to both sides.  Everything on the right side gets multiplied by the five.

2m/5 ·5 = 2/3m ·5 -4 ·5

2m = 3 1/3 -20

Then, get the variable by itself, by dividing the two on both sides.  Everything on the right side gets divided by the two.

2m /2 = 3 1/3 /2 -20 /2

m = 1 2/3 -10

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