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

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

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

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

Remove parenthesis around (-3 + 4m)
-3 + 4m = (m + 6)

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

Remove parenthesis around (6 + m)
-3 + 4m = 6 + m

Solving
-3 + 4m = 6 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
-3 + 4m + -1m = 6 + m + -1m

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

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

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

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

Combine like terms: 6 + 3 = 9
3m = 9

Divide each side by '3'.
m = 3

Simplifying
m = 3