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

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

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

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

Reorder the terms:
6 + 4m = 3(3 + m) + -1
6 + 4m = (3 * 3 + m * 3) + -1
6 + 4m = (9 + 3m) + -1

Reorder the terms:
6 + 4m = 9 + -1 + 3m

Combine like terms: 9 + -1 = 8
6 + 4m = 8 + 3m

Solving
6 + 4m = 8 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
6 + 4m + -3m = 8 + 3m + -3m

Combine like terms: 4m + -3m = 1m
6 + 1m = 8 + 3m + -3m

Combine like terms: 3m + -3m = 0
6 + 1m = 8 + 0
6 + 1m = 8

Add '-6' to each side of the equation.
6 + -6 + 1m = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 1m = 8 + -6
1m = 8 + -6

Combine like terms: 8 + -6 = 2
1m = 2

Divide each side by '1'.
m = 2

Simplifying
m = 2