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

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!

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1 Answer

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.