7m-31=2(m-3)

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Solution for 7m-31=2(m-3) equation:


Simplifying
7m + -31 = 2(m + -3)

Reorder the terms:
-31 + 7m = 2(m + -3)

Reorder the terms:
-31 + 7m = 2(-3 + m)
-31 + 7m = (-3 * 2 + m * 2)
-31 + 7m = (-6 + 2m)

Solving
-31 + 7m = -6 + 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.
-31 + 7m + -2m = -6 + 2m + -2m

Combine like terms: 7m + -2m = 5m
-31 + 5m = -6 + 2m + -2m

Combine like terms: 2m + -2m = 0
-31 + 5m = -6 + 0
-31 + 5m = -6

Add '31' to each side of the equation.
-31 + 31 + 5m = -6 + 31

Combine like terms: -31 + 31 = 0
0 + 5m = -6 + 31
5m = -6 + 31

Combine like terms: -6 + 31 = 25
5m = 25

Divide each side by '5'.
m = 5

Simplifying
m = 5

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