2(7-m)=3(5-m)

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Solution for 2(7-m)=3(5-m) equation:


Simplifying
2(7 + -1m) = 3(5 + -1m)
(7 * 2 + -1m * 2) = 3(5 + -1m)
(14 + -2m) = 3(5 + -1m)
14 + -2m = (5 * 3 + -1m * 3)
14 + -2m = (15 + -3m)

Solving
14 + -2m = 15 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
14 + -2m + 3m = 15 + -3m + 3m

Combine like terms: -2m + 3m = 1m
14 + 1m = 15 + -3m + 3m

Combine like terms: -3m + 3m = 0
14 + 1m = 15 + 0
14 + 1m = 15

Add '-14' to each side of the equation.
14 + -14 + 1m = 15 + -14

Combine like terms: 14 + -14 = 0
0 + 1m = 15 + -14
1m = 15 + -14

Combine like terms: 15 + -14 = 1
1m = 1

Divide each side by '1'.
m = 1

Simplifying
m = 1

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