6(m-1)+4(2m+3)+5=24m+1

Solution for 6(m-1)+4(2m+3)+5=24m+1 equation:

Simplifying
6(m + -1) + 4(2m + 3) + 5 = 24m + 1

Reorder the terms:
6(-1 + m) + 4(2m + 3) + 5 = 24m + 1
(-1 * 6 + m * 6) + 4(2m + 3) + 5 = 24m + 1
(-6 + 6m) + 4(2m + 3) + 5 = 24m + 1

Reorder the terms:
-6 + 6m + 4(3 + 2m) + 5 = 24m + 1
-6 + 6m + (3 * 4 + 2m * 4) + 5 = 24m + 1
-6 + 6m + (12 + 8m) + 5 = 24m + 1

Reorder the terms:
-6 + 12 + 5 + 6m + 8m = 24m + 1

Combine like terms: -6 + 12 = 6
6 + 5 + 6m + 8m = 24m + 1

Combine like terms: 6 + 5 = 11
11 + 6m + 8m = 24m + 1

Combine like terms: 6m + 8m = 14m
11 + 14m = 24m + 1

Reorder the terms:
11 + 14m = 1 + 24m

Solving
11 + 14m = 1 + 24m

Solving for variable 'm'.

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

Add '-24m' to each side of the equation.
11 + 14m + -24m = 1 + 24m + -24m

Combine like terms: 14m + -24m = -10m
11 + -10m = 1 + 24m + -24m

Combine like terms: 24m + -24m = 0
11 + -10m = 1 + 0
11 + -10m = 1

Add '-11' to each side of the equation.
11 + -11 + -10m = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -10m = 1 + -11
-10m = 1 + -11

Combine like terms: 1 + -11 = -10
-10m = -10

Divide each side by '-10'.
m = 1

Simplifying
m = 1