6+m-4m=7m-14

Solution for 6+m-4m=7m-14 equation:

Simplifying
6 + m + -4m = 7m + -14

Combine like terms: m + -4m = -3m
6 + -3m = 7m + -14

Reorder the terms:
6 + -3m = -14 + 7m

Solving
6 + -3m = -14 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
6 + -3m + -7m = -14 + 7m + -7m

Combine like terms: -3m + -7m = -10m
6 + -10m = -14 + 7m + -7m

Combine like terms: 7m + -7m = 0
6 + -10m = -14 + 0
6 + -10m = -14

Add '-6' to each side of the equation.
6 + -6 + -10m = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -10m = -14 + -6
-10m = -14 + -6

Combine like terms: -14 + -6 = -20
-10m = -20

Divide each side by '-10'.
m = 2

Simplifying
m = 2