2m+5m+3=10m-19

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Solution for 2m+5m+3=10m-19 equation:


Simplifying
2m + 5m + 3 = 10m + -19

Reorder the terms:
3 + 2m + 5m = 10m + -19

Combine like terms: 2m + 5m = 7m
3 + 7m = 10m + -19

Reorder the terms:
3 + 7m = -19 + 10m

Solving
3 + 7m = -19 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
3 + 7m + -10m = -19 + 10m + -10m

Combine like terms: 7m + -10m = -3m
3 + -3m = -19 + 10m + -10m

Combine like terms: 10m + -10m = 0
3 + -3m = -19 + 0
3 + -3m = -19

Add '-3' to each side of the equation.
3 + -3 + -3m = -19 + -3

Combine like terms: 3 + -3 = 0
0 + -3m = -19 + -3
-3m = -19 + -3

Combine like terms: -19 + -3 = -22
-3m = -22

Divide each side by '-3'.
m = 7.333333333

Simplifying
m = 7.333333333

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