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

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

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

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

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

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

Solving for variable 'm'.

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

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

Combine like terms: 3m + 2m = 5m
-6 + 5m = 14 + -2m + 2m

Combine like terms: -2m + 2m = 0
-6 + 5m = 14 + 0
-6 + 5m = 14

Add '6' to each side of the equation.
-6 + 6 + 5m = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 5m = 14 + 6
5m = 14 + 6

Combine like terms: 14 + 6 = 20
5m = 20

Divide each side by '5'.
m = 4

Simplifying
m = 4