3mt-6=2mt+4

Solution for 3mt-6=2mt+4 equation:

Simplifying
3mt + -6 = 2mt + 4

Reorder the terms:
-6 + 3mt = 2mt + 4

Reorder the terms:
-6 + 3mt = 4 + 2mt

Solving
-6 + 3mt = 4 + 2mt

Solving for variable 'm'.

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

Add '-2mt' to each side of the equation.
-6 + 3mt + -2mt = 4 + 2mt + -2mt

Combine like terms: 3mt + -2mt = 1mt
-6 + 1mt = 4 + 2mt + -2mt

Combine like terms: 2mt + -2mt = 0
-6 + 1mt = 4 + 0
-6 + 1mt = 4

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

Combine like terms: -6 + 6 = 0
0 + 1mt = 4 + 6
1mt = 4 + 6

Combine like terms: 4 + 6 = 10
1mt = 10

Divide each side by '1t'.
m = 10t-1

Simplifying
m = 10t-1