m-3(4m-1)+2(7-m)=5

Solution for m-3(4m-1)+2(7-m)=5 equation:

Simplifying
m + -3(4m + -1) + 2(7 + -1m) = 5

Reorder the terms:
m + -3(-1 + 4m) + 2(7 + -1m) = 5
m + (-1 * -3 + 4m * -3) + 2(7 + -1m) = 5
m + (3 + -12m) + 2(7 + -1m) = 5
m + 3 + -12m + (7 * 2 + -1m * 2) = 5
m + 3 + -12m + (14 + -2m) = 5

Reorder the terms:
3 + 14 + m + -12m + -2m = 5

Combine like terms: 3 + 14 = 17
17 + m + -12m + -2m = 5

Combine like terms: m + -12m = -11m
17 + -11m + -2m = 5

Combine like terms: -11m + -2m = -13m
17 + -13m = 5

Solving
17 + -13m = 5

Solving for variable 'm'.

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

Add '-17' to each side of the equation.
17 + -17 + -13m = 5 + -17

Combine like terms: 17 + -17 = 0
0 + -13m = 5 + -17
-13m = 5 + -17

Combine like terms: 5 + -17 = -12
-13m = -12

Divide each side by '-13'.
m = 0.9230769231

Simplifying
m = 0.9230769231