14m-3(m-2)=5m+2-(m-1)

Solution for 14m-3(m-2)=5m+2-(m-1) equation:

Simplifying
14m + -3(m + -2) = 5m + 2 + -1(m + -1)

Reorder the terms:
14m + -3(-2 + m) = 5m + 2 + -1(m + -1)
14m + (-2 * -3 + m * -3) = 5m + 2 + -1(m + -1)
14m + (6 + -3m) = 5m + 2 + -1(m + -1)

Reorder the terms:
6 + 14m + -3m = 5m + 2 + -1(m + -1)

Combine like terms: 14m + -3m = 11m
6 + 11m = 5m + 2 + -1(m + -1)

Reorder the terms:
6 + 11m = 5m + 2 + -1(-1 + m)
6 + 11m = 5m + 2 + (-1 * -1 + m * -1)
6 + 11m = 5m + 2 + (1 + -1m)

Reorder the terms:
6 + 11m = 2 + 1 + 5m + -1m

Combine like terms: 2 + 1 = 3
6 + 11m = 3 + 5m + -1m

Combine like terms: 5m + -1m = 4m
6 + 11m = 3 + 4m

Solving
6 + 11m = 3 + 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.
6 + 11m + -4m = 3 + 4m + -4m

Combine like terms: 11m + -4m = 7m
6 + 7m = 3 + 4m + -4m

Combine like terms: 4m + -4m = 0
6 + 7m = 3 + 0
6 + 7m = 3

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

Combine like terms: 6 + -6 = 0
0 + 7m = 3 + -6
7m = 3 + -6

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

Divide each side by '7'.
m = -0.4285714286

Simplifying
m = -0.4285714286