7(m-12)-5(5m-9)=105

Solution for 7(m-12)-5(5m-9)=105 equation:

Simplifying
7(m + -12) + -5(5m + -9) = 105

Reorder the terms:
7(-12 + m) + -5(5m + -9) = 105
(-12 * 7 + m * 7) + -5(5m + -9) = 105
(-84 + 7m) + -5(5m + -9) = 105

Reorder the terms:
-84 + 7m + -5(-9 + 5m) = 105
-84 + 7m + (-9 * -5 + 5m * -5) = 105
-84 + 7m + (45 + -25m) = 105

Reorder the terms:
-84 + 45 + 7m + -25m = 105

Combine like terms: -84 + 45 = -39
-39 + 7m + -25m = 105

Combine like terms: 7m + -25m = -18m
-39 + -18m = 105

Solving
-39 + -18m = 105

Solving for variable 'm'.

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

Add '39' to each side of the equation.
-39 + 39 + -18m = 105 + 39

Combine like terms: -39 + 39 = 0
0 + -18m = 105 + 39
-18m = 105 + 39

Combine like terms: 105 + 39 = 144
-18m = 144

Divide each side by '-18'.
m = -8

Simplifying
m = -8