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

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

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

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

Combine like terms: 3m + 4m = 7m
2 + 7m = 3(2m + 1)

Reorder the terms:
2 + 7m = 3(1 + 2m)
2 + 7m = (1 * 3 + 2m * 3)
2 + 7m = (3 + 6m)

Solving
2 + 7m = 3 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
2 + 7m + -6m = 3 + 6m + -6m

Combine like terms: 7m + -6m = 1m
2 + 1m = 3 + 6m + -6m

Combine like terms: 6m + -6m = 0
2 + 1m = 3 + 0
2 + 1m = 3

Add '-2' to each side of the equation.
2 + -2 + 1m = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 1m = 3 + -2
1m = 3 + -2

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

Divide each side by '1'.
m = 1

Simplifying
m = 1