3(m+7)=5m-3

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Solution for 3(m+7)=5m-3 equation:


Simplifying
3(m + 7) = 5m + -3

Reorder the terms:
3(7 + m) = 5m + -3
(7 * 3 + m * 3) = 5m + -3
(21 + 3m) = 5m + -3

Reorder the terms:
21 + 3m = -3 + 5m

Solving
21 + 3m = -3 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
21 + 3m + -5m = -3 + 5m + -5m

Combine like terms: 3m + -5m = -2m
21 + -2m = -3 + 5m + -5m

Combine like terms: 5m + -5m = 0
21 + -2m = -3 + 0
21 + -2m = -3

Add '-21' to each side of the equation.
21 + -21 + -2m = -3 + -21

Combine like terms: 21 + -21 = 0
0 + -2m = -3 + -21
-2m = -3 + -21

Combine like terms: -3 + -21 = -24
-2m = -24

Divide each side by '-2'.
m = 12

Simplifying
m = 12

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