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Sagot :
[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]
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
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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