What is \( m \) in the equation \(\frac{2m}{5}\) = \(\frac{1}{3}\)(2m - 12)?

Please show steps.

5 2 m ​ = 3 1 ​ ( 2 m − 12 ) 5 2 m ​ = 3 2 ​ m − 3 12 ​ ∣ M u lt i pl y b y 15 6 m = 10 m − 60 ∣ S u b t r a c t 10 m − 4 m = − 60 ∣ D i v i d e b y − 4 m = 15 S o l u t i o n i s m = 15.

Answered by luana | 2024-06-10

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

Answered by xXxGirxXx | 2024-06-10

To solve the equation 5 2 m ​ = 3 1 ​ ( 2 m − 12 ) , first distribute and eliminate fractions by multiplying by 15. Rearranging the equation leads to m = 15 as the solution.
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Answered by luana | 2024-09-27