2m-1=3m-7

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Solution for 2m-1=3m-7 equation:


Simplifying
2m + -1 = 3m + -7

Reorder the terms:
-1 + 2m = 3m + -7

Reorder the terms:
-1 + 2m = -7 + 3m

Solving
-1 + 2m = -7 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-1 + 2m + -3m = -7 + 3m + -3m

Combine like terms: 2m + -3m = -1m
-1 + -1m = -7 + 3m + -3m

Combine like terms: 3m + -3m = 0
-1 + -1m = -7 + 0
-1 + -1m = -7

Add '1' to each side of the equation.
-1 + 1 + -1m = -7 + 1

Combine like terms: -1 + 1 = 0
0 + -1m = -7 + 1
-1m = -7 + 1

Combine like terms: -7 + 1 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6

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