m-(5-3m)=7m-10

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Solution for m-(5-3m)=7m-10 equation:


Simplifying
m + -1(5 + -3m) = 7m + -10
m + (5 * -1 + -3m * -1) = 7m + -10
m + (-5 + 3m) = 7m + -10

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

Combine like terms: m + 3m = 4m
-5 + 4m = 7m + -10

Reorder the terms:
-5 + 4m = -10 + 7m

Solving
-5 + 4m = -10 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
-5 + 4m + -7m = -10 + 7m + -7m

Combine like terms: 4m + -7m = -3m
-5 + -3m = -10 + 7m + -7m

Combine like terms: 7m + -7m = 0
-5 + -3m = -10 + 0
-5 + -3m = -10

Add '5' to each side of the equation.
-5 + 5 + -3m = -10 + 5

Combine like terms: -5 + 5 = 0
0 + -3m = -10 + 5
-3m = -10 + 5

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

Divide each side by '-3'.
m = 1.666666667

Simplifying
m = 1.666666667

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