(2m+5)+2(m-3)=11

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Solution for (2m+5)+2(m-3)=11 equation:


Simplifying
(2m + 5) + 2(m + -3) = 11

Reorder the terms:
(5 + 2m) + 2(m + -3) = 11

Remove parenthesis around (5 + 2m)
5 + 2m + 2(m + -3) = 11

Reorder the terms:
5 + 2m + 2(-3 + m) = 11
5 + 2m + (-3 * 2 + m * 2) = 11
5 + 2m + (-6 + 2m) = 11

Reorder the terms:
5 + -6 + 2m + 2m = 11

Combine like terms: 5 + -6 = -1
-1 + 2m + 2m = 11

Combine like terms: 2m + 2m = 4m
-1 + 4m = 11

Solving
-1 + 4m = 11

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 4m = 11 + 1

Combine like terms: -1 + 1 = 0
0 + 4m = 11 + 1
4m = 11 + 1

Combine like terms: 11 + 1 = 12
4m = 12

Divide each side by '4'.
m = 3

Simplifying
m = 3

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