2(m-6)-5=6(m+5)-11

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Solution for 2(m-6)-5=6(m+5)-11 equation: 


Simplifying
2(m + -6) + -5 = 6(m + 5) + -11

Reorder the terms:
2(-6 + m) + -5 = 6(m + 5) + -11
(-6 * 2 + m * 2) + -5 = 6(m + 5) + -11
(-12 + 2m) + -5 = 6(m + 5) + -11

Reorder the terms:
-12 + -5 + 2m = 6(m + 5) + -11

Combine like terms: -12 + -5 = -17
-17 + 2m = 6(m + 5) + -11

Reorder the terms:
-17 + 2m = 6(5 + m) + -11
-17 + 2m = (5 * 6 + m * 6) + -11
-17 + 2m = (30 + 6m) + -11

Reorder the terms:
-17 + 2m = 30 + -11 + 6m

Combine like terms: 30 + -11 = 19
-17 + 2m = 19 + 6m

Solving
-17 + 2m = 19 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
-17 + 2m + -6m = 19 + 6m + -6m

Combine like terms: 2m + -6m = -4m
-17 + -4m = 19 + 6m + -6m

Combine like terms: 6m + -6m = 0
-17 + -4m = 19 + 0
-17 + -4m = 19

Add '17' to each side of the equation.
-17 + 17 + -4m = 19 + 17

Combine like terms: -17 + 17 = 0
0 + -4m = 19 + 17
-4m = 19 + 17

Combine like terms: 19 + 17 = 36
-4m = 36

Divide each side by '-4'.
m = -9

Simplifying
m = -9

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