Braniac
Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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]
xXxGirxXx
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

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.