6m+3=2(4m+1)

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

Simplifying
6m + 3 = 2(4m + 1)

Reorder the terms:
3 + 6m = 2(4m + 1)

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

Solving
3 + 6m = 2 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
3 + 6m + -8m = 2 + 8m + -8m

Combine like terms: 6m + -8m = -2m
3 + -2m = 2 + 8m + -8m

Combine like terms: 8m + -8m = 0
3 + -2m = 2 + 0
3 + -2m = 2

Add '-3' to each side of the equation.
3 + -3 + -2m = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 2 + -3
-2m = 2 + -3

Combine like terms: 2 + -3 = -1
-2m = -1

Divide each side by '-2'.
m = 0.5

Simplifying
m = 0.5