3m-5(m-2)=2m-10

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Solution for 3m-5(m-2)=2m-10 equation:


Simplifying
3m + -5(m + -2) = 2m + -10

Reorder the terms:
3m + -5(-2 + m) = 2m + -10
3m + (-2 * -5 + m * -5) = 2m + -10
3m + (10 + -5m) = 2m + -10

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

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

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

Solving
10 + -2m = -10 + 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.
10 + -2m + -2m = -10 + 2m + -2m

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

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

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

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

Combine like terms: -10 + -10 = -20
-4m = -20

Divide each side by '-4'.
m = 5

Simplifying
m = 5

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