[m-2]=2m+5

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Solution for [m-2]=2m+5 equation:


Simplifying
[m + -2] = 2m + 5

Reorder the terms:
[-2 + m] = 2m + 5

Remove brackets around [-2 + m]
-2 + m = 2m + 5

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

Solving
-2 + m = 5 + 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.
-2 + m + -2m = 5 + 2m + -2m

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

Combine like terms: 2m + -2m = 0
-2 + -1m = 5 + 0
-2 + -1m = 5

Add '2' to each side of the equation.
-2 + 2 + -1m = 5 + 2

Combine like terms: -2 + 2 = 0
0 + -1m = 5 + 2
-1m = 5 + 2

Combine like terms: 5 + 2 = 7
-1m = 7

Divide each side by '-1'.
m = -7

Simplifying
m = -7

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