10=3m+2(m-5)

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


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

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

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

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

Solving
10 = -10 + 5m

Solving for variable 'm'.

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

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

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

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

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

Combine like terms: -10 + -10 = -20
-5m = -20

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

Simplifying
m = 4

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