10-3(2m-9)=(m-1)+1

Solution for 10-3(2m-9)=(m-1)+1 equation:

Simplifying
10 + -3(2m + -9) = (m + -1) + 1

Reorder the terms:
10 + -3(-9 + 2m) = (m + -1) + 1
10 + (-9 * -3 + 2m * -3) = (m + -1) + 1
10 + (27 + -6m) = (m + -1) + 1

Combine like terms: 10 + 27 = 37
37 + -6m = (m + -1) + 1

Reorder the terms:
37 + -6m = (-1 + m) + 1

Remove parenthesis around (-1 + m)
37 + -6m = -1 + m + 1

Reorder the terms:
37 + -6m = -1 + 1 + m

Combine like terms: -1 + 1 = 0
37 + -6m = 0 + m
37 + -6m = m

Solving
37 + -6m = m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
37 + -6m + -1m = m + -1m

Combine like terms: -6m + -1m = -7m
37 + -7m = m + -1m

Combine like terms: m + -1m = 0
37 + -7m = 0

Add '-37' to each side of the equation.
37 + -37 + -7m = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -7m = 0 + -37
-7m = 0 + -37

Combine like terms: 0 + -37 = -37
-7m = -37

Divide each side by '-7'.
m = 5.285714286

Simplifying
m = 5.285714286