6-3(2m+5)=4-(3-m)

Solution for 6-3(2m+5)=4-(3-m) equation:

Simplifying
6 + -3(2m + 5) = 4 + -1(3 + -1m)

Reorder the terms:
6 + -3(5 + 2m) = 4 + -1(3 + -1m)
6 + (5 * -3 + 2m * -3) = 4 + -1(3 + -1m)
6 + (-15 + -6m) = 4 + -1(3 + -1m)

Combine like terms: 6 + -15 = -9
-9 + -6m = 4 + -1(3 + -1m)
-9 + -6m = 4 + (3 * -1 + -1m * -1)
-9 + -6m = 4 + (-3 + 1m)

Combine like terms: 4 + -3 = 1
-9 + -6m = 1 + 1m

Solving
-9 + -6m = 1 + 1m

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.
-9 + -6m + -1m = 1 + 1m + -1m

Combine like terms: -6m + -1m = -7m
-9 + -7m = 1 + 1m + -1m

Combine like terms: 1m + -1m = 0
-9 + -7m = 1 + 0
-9 + -7m = 1

Add '9' to each side of the equation.
-9 + 9 + -7m = 1 + 9

Combine like terms: -9 + 9 = 0
0 + -7m = 1 + 9
-7m = 1 + 9

Combine like terms: 1 + 9 = 10
-7m = 10

Divide each side by '-7'.
m = -1.428571429

Simplifying
m = -1.428571429