How do you solve 8-4(m + 5) = 3(m-9)?

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How do you solve 8-4(m + 5) = 3(m-9)?

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Answer 1 · 2018-03-29T17:43:37

$m = 2.14$ $m = 2.14$

Explanation:

Begin by using the distributive property to simplify. Here is a helpful image if you need a refresher on the distributive property:
![https://sites.google.com/a/d83.org/math-6/chapter-6/6-6-the-distributive-property]( useruploads.socratic.org )

$8 - 4 (m + 5) = 3 (m - 9)$ $8 - 4(m + 5) = 3(m - 9)$

$8 - 4 m - 20 = 3 m - 27$ $8 - 4m - 20 = 3m - 27$

Now add like terms and solve:
$8 - 4 m - 20 = 3 m - 27$ $8 - 4m - 20 = 3m - 27$

$- 12 - 4 m = 3 m - 27$ $-12 - 4m = 3m - 27$

$- 4 m = 3 m - 15$ $-4m = 3m - 15$

$- 7 m = - 15$ $-7m = - 15$

$- m = - 2.14$ $-m = -2.14$

Multiply both sides by $- 1$ $-1$ to change it to a positive answer:
$m = 2.14$ $m = 2.14$

Answer 2 · 2018-03-29T17:46:10

$\frac{15}{7}$ $15/7$

Explanation:

$8 - 4 m - 20 = 3 m - 27$ $8-4m-20=3m-27$

$- 4 m - 12 = 3 m - 27$ $-4m-12=3m-27$

$- 4 m - 3 m = - 27 + 12$ $-4m-3m=-27+12$

$- 7 m = - 15$ $-7m=-15$

$m = \frac{15}{7}$ $m=15/7$

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How do you solve 8-4(m + 5) = 3(m-9)?

2 Answers

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