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

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

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

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

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

Combine like terms: 5m + -4m = 1m
-6 + 1m = 2(m + -3)

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

Add '6' to each side of the equation.
-6 + 6 + 1m = -6 + 6 + 2m

Combine like terms: -6 + 6 = 0
0 + 1m = -6 + 6 + 2m
1m = -6 + 6 + 2m

Combine like terms: -6 + 6 = 0
1m = 0 + 2m
1m = 2m

Solving
1m = 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
1m + -2m = 2m + -2m

Combine like terms: 1m + -2m = -1m
-1m = 2m + -2m

Combine like terms: 2m + -2m = 0
-1m = 0

Divide each side by '-1'.
m = 0

Simplifying
m = 0