6m-3=10-4(2-m)

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Solution for 6m-3=10-4(2-m) equation:


Simplifying
6m + -3 = 10 + -4(2 + -1m)

Reorder the terms:
-3 + 6m = 10 + -4(2 + -1m)
-3 + 6m = 10 + (2 * -4 + -1m * -4)
-3 + 6m = 10 + (-8 + 4m)

Combine like terms: 10 + -8 = 2
-3 + 6m = 2 + 4m

Solving
-3 + 6m = 2 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-3 + 6m + -4m = 2 + 4m + -4m

Combine like terms: 6m + -4m = 2m
-3 + 2m = 2 + 4m + -4m

Combine like terms: 4m + -4m = 0
-3 + 2m = 2 + 0
-3 + 2m = 2

Add '3' to each side of the equation.
-3 + 3 + 2m = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 2m = 2 + 3
2m = 2 + 3

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

Divide each side by '2'.
m = 2.5

Simplifying
m = 2.5

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