2(5m-3)-3(m+8)=

Solution for 2(5m-3)-3(m+8)= equation:

Simplifying
2(5m + -3) + -3(m + 8) = 0

Reorder the terms:
2(-3 + 5m) + -3(m + 8) = 0
(-3 * 2 + 5m * 2) + -3(m + 8) = 0
(-6 + 10m) + -3(m + 8) = 0

Reorder the terms:
-6 + 10m + -3(8 + m) = 0
-6 + 10m + (8 * -3 + m * -3) = 0
-6 + 10m + (-24 + -3m) = 0

Reorder the terms:
-6 + -24 + 10m + -3m = 0

Combine like terms: -6 + -24 = -30
-30 + 10m + -3m = 0

Combine like terms: 10m + -3m = 7m
-30 + 7m = 0

Solving
-30 + 7m = 0

Solving for variable 'm'.

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

Add '30' to each side of the equation.
-30 + 30 + 7m = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 7m = 0 + 30
7m = 0 + 30

Combine like terms: 0 + 30 = 30
7m = 30

Divide each side by '7'.
m = 4.285714286

Simplifying
m = 4.285714286