3m-10=3(4m-5)

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Solution for 3m-10=3(4m-5) equation:


Simplifying
3m + -10 = 3(4m + -5)

Reorder the terms:
-10 + 3m = 3(4m + -5)

Reorder the terms:
-10 + 3m = 3(-5 + 4m)
-10 + 3m = (-5 * 3 + 4m * 3)
-10 + 3m = (-15 + 12m)

Solving
-10 + 3m = -15 + 12m

Solving for variable 'm'.

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

Add '-12m' to each side of the equation.
-10 + 3m + -12m = -15 + 12m + -12m

Combine like terms: 3m + -12m = -9m
-10 + -9m = -15 + 12m + -12m

Combine like terms: 12m + -12m = 0
-10 + -9m = -15 + 0
-10 + -9m = -15

Add '10' to each side of the equation.
-10 + 10 + -9m = -15 + 10

Combine like terms: -10 + 10 = 0
0 + -9m = -15 + 10
-9m = -15 + 10

Combine like terms: -15 + 10 = -5
-9m = -5

Divide each side by '-9'.
m = 0.5555555556

Simplifying
m = 0.5555555556

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