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

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

Simplifying
2(5m + 3) + -3(m + -2) = 0

Reorder the terms:
2(3 + 5m) + -3(m + -2) = 0
(3 * 2 + 5m * 2) + -3(m + -2) = 0
(6 + 10m) + -3(m + -2) = 0

Reorder the terms:
6 + 10m + -3(-2 + m) = 0
6 + 10m + (-2 * -3 + m * -3) = 0
6 + 10m + (6 + -3m) = 0

Reorder the terms:
6 + 6 + 10m + -3m = 0

Combine like terms: 6 + 6 = 12
12 + 10m + -3m = 0

Combine like terms: 10m + -3m = 7m
12 + 7m = 0

Solving
12 + 7m = 0

Solving for variable 'm'.

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

Add '-12' to each side of the equation.
12 + -12 + 7m = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 7m = 0 + -12
7m = 0 + -12

Combine like terms: 0 + -12 = -12
7m = -12

Divide each side by '7'.
m = -1.714285714

Simplifying
m = -1.714285714