2(2m-3)+5(m+4)=100

Solution for 2(2m-3)+5(m+4)=100 equation:

Simplifying
2(2m + -3) + 5(m + 4) = 100

Reorder the terms:
2(-3 + 2m) + 5(m + 4) = 100
(-3 * 2 + 2m * 2) + 5(m + 4) = 100
(-6 + 4m) + 5(m + 4) = 100

Reorder the terms:
-6 + 4m + 5(4 + m) = 100
-6 + 4m + (4 * 5 + m * 5) = 100
-6 + 4m + (20 + 5m) = 100

Reorder the terms:
-6 + 20 + 4m + 5m = 100

Combine like terms: -6 + 20 = 14
14 + 4m + 5m = 100

Combine like terms: 4m + 5m = 9m
14 + 9m = 100

Solving
14 + 9m = 100

Solving for variable 'm'.

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

Add '-14' to each side of the equation.
14 + -14 + 9m = 100 + -14

Combine like terms: 14 + -14 = 0
0 + 9m = 100 + -14
9m = 100 + -14

Combine like terms: 100 + -14 = 86
9m = 86

Divide each side by '9'.
m = 9.555555556

Simplifying
m = 9.555555556