3-4(m-5)=2m-8

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Solution for 3-4(m-5)=2m-8 equation:


Simplifying
3 + -4(m + -5) = 2m + -8

Reorder the terms:
3 + -4(-5 + m) = 2m + -8
3 + (-5 * -4 + m * -4) = 2m + -8
3 + (20 + -4m) = 2m + -8

Combine like terms: 3 + 20 = 23
23 + -4m = 2m + -8

Reorder the terms:
23 + -4m = -8 + 2m

Solving
23 + -4m = -8 + 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.
23 + -4m + -2m = -8 + 2m + -2m

Combine like terms: -4m + -2m = -6m
23 + -6m = -8 + 2m + -2m

Combine like terms: 2m + -2m = 0
23 + -6m = -8 + 0
23 + -6m = -8

Add '-23' to each side of the equation.
23 + -23 + -6m = -8 + -23

Combine like terms: 23 + -23 = 0
0 + -6m = -8 + -23
-6m = -8 + -23

Combine like terms: -8 + -23 = -31
-6m = -31

Divide each side by '-6'.
m = 5.166666667

Simplifying
m = 5.166666667

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