2m+7+3m-5=m+10

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Solution for 2m+7+3m-5=m+10 equation: 


Simplifying
2m + 7 + 3m + -5 = m + 10

Reorder the terms:
7 + -5 + 2m + 3m = m + 10

Combine like terms: 7 + -5 = 2
2 + 2m + 3m = m + 10

Combine like terms: 2m + 3m = 5m
2 + 5m = m + 10

Reorder the terms:
2 + 5m = 10 + m

Solving
2 + 5m = 10 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
2 + 5m + -1m = 10 + m + -1m

Combine like terms: 5m + -1m = 4m
2 + 4m = 10 + m + -1m

Combine like terms: m + -1m = 0
2 + 4m = 10 + 0
2 + 4m = 10

Add '-2' to each side of the equation.
2 + -2 + 4m = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 4m = 10 + -2
4m = 10 + -2

Combine like terms: 10 + -2 = 8
4m = 8

Divide each side by '4'.
m = 2

Simplifying
m = 2

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