(3m-2)-(5m-3)=19

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Solution for (3m-2)-(5m-3)=19 equation:


Simplifying
(3m + -2) + -1(5m + -3) = 19

Reorder the terms:
(-2 + 3m) + -1(5m + -3) = 19

Remove parenthesis around (-2 + 3m)
-2 + 3m + -1(5m + -3) = 19

Reorder the terms:
-2 + 3m + -1(-3 + 5m) = 19
-2 + 3m + (-3 * -1 + 5m * -1) = 19
-2 + 3m + (3 + -5m) = 19

Reorder the terms:
-2 + 3 + 3m + -5m = 19

Combine like terms: -2 + 3 = 1
1 + 3m + -5m = 19

Combine like terms: 3m + -5m = -2m
1 + -2m = 19

Solving
1 + -2m = 19

Solving for variable 'm'.

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

Add '-1' to each side of the equation.
1 + -1 + -2m = 19 + -1

Combine like terms: 1 + -1 = 0
0 + -2m = 19 + -1
-2m = 19 + -1

Combine like terms: 19 + -1 = 18
-2m = 18

Divide each side by '-2'.
m = -9

Simplifying
m = -9

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