6(m+1)=2(1+5m)

Solution for 6(m+1)=2(1+5m) equation:

Simplifying
6(m + 1) = 2(1 + 5m)

Reorder the terms:
6(1 + m) = 2(1 + 5m)
(1 * 6 + m * 6) = 2(1 + 5m)
(6 + 6m) = 2(1 + 5m)
6 + 6m = (1 * 2 + 5m * 2)
6 + 6m = (2 + 10m)

Solving
6 + 6m = 2 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
6 + 6m + -10m = 2 + 10m + -10m

Combine like terms: 6m + -10m = -4m
6 + -4m = 2 + 10m + -10m

Combine like terms: 10m + -10m = 0
6 + -4m = 2 + 0
6 + -4m = 2

Add '-6' to each side of the equation.
6 + -6 + -4m = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -4m = 2 + -6
-4m = 2 + -6

Combine like terms: 2 + -6 = -4
-4m = -4

Divide each side by '-4'.
m = 1

Simplifying
m = 1