3(m-2)=-2(mx-7)

Solution for 3(m-2)=-2(mx-7) equation:

Simplifying
3(m + -2) = -2(mx + -7)

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

Reorder the terms:
-6 + 3m = -2(-7 + mx)
-6 + 3m = (-7 * -2 + mx * -2)
-6 + 3m = (14 + -2mx)

Solving
-6 + 3m = 14 + -2mx

Solving for variable 'm'.

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

Add '2mx' to each side of the equation.
-6 + 3m + 2mx = 14 + -2mx + 2mx

Combine like terms: -2mx + 2mx = 0
-6 + 3m + 2mx = 14 + 0
-6 + 3m + 2mx = 14

Add '6' to each side of the equation.
-6 + 3m + 6 + 2mx = 14 + 6

Reorder the terms:
-6 + 6 + 3m + 2mx = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 3m + 2mx = 14 + 6
3m + 2mx = 14 + 6

Combine like terms: 14 + 6 = 20
3m + 2mx = 20

Reorder the terms:
-20 + 3m + 2mx = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 3m + 2mx = 0

The solution to this equation could not be determined.