17-(2m+5)=5+2m-13

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Solution for 17-(2m+5)=5+2m-13 equation: 


Simplifying
17 + -1(2m + 5) = 5 + 2m + -13

Reorder the terms:
17 + -1(5 + 2m) = 5 + 2m + -13
17 + (5 * -1 + 2m * -1) = 5 + 2m + -13
17 + (-5 + -2m) = 5 + 2m + -13

Combine like terms: 17 + -5 = 12
12 + -2m = 5 + 2m + -13

Reorder the terms:
12 + -2m = 5 + -13 + 2m

Combine like terms: 5 + -13 = -8
12 + -2m = -8 + 2m

Solving
12 + -2m = -8 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
12 + -2m + -2m = -8 + 2m + -2m

Combine like terms: -2m + -2m = -4m
12 + -4m = -8 + 2m + -2m

Combine like terms: 2m + -2m = 0
12 + -4m = -8 + 0
12 + -4m = -8

Add '-12' to each side of the equation.
12 + -12 + -4m = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -4m = -8 + -12
-4m = -8 + -12

Combine like terms: -8 + -12 = -20
-4m = -20

Divide each side by '-4'.
m = 5

Simplifying
m = 5

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