how do you solve 5+11(2-m)=m-9

Question

im a seventh grader taking 8th grade math and my teacher didn't have time to fluently explain this to us so I am completely lost some one help please!

Answer 1

1. Start by expanding the expression contained in the parentheses () on the left hand side

5 + 11(2-m) = m - 9 ⇒ 5 + 22 - 11m = m - 9

 

2. Bring all the terms with m to the right hand side, and all the other terms to the left hand side

5 + 22 - 11m = m - 9 ⇒ 5 + 22 + 9 = m + 11m

 

3. Add and simplify both sides of the equation

5 + 22 + 9 = m + 11m ⇒ 36 = 12m

 

4. Divide both sides of the equation by 12

36 = 12m ⇒ 3 = m

 

The final answer is m=3.