-5(m-5)=3(10-2m)+10

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Solution for -5(m-5)=3(10-2m)+10 equation:


Simplifying
-5(m + -5) = 3(10 + -2m) + 10

Reorder the terms:
-5(-5 + m) = 3(10 + -2m) + 10
(-5 * -5 + m * -5) = 3(10 + -2m) + 10
(25 + -5m) = 3(10 + -2m) + 10
25 + -5m = (10 * 3 + -2m * 3) + 10
25 + -5m = (30 + -6m) + 10

Reorder the terms:
25 + -5m = 30 + 10 + -6m

Combine like terms: 30 + 10 = 40
25 + -5m = 40 + -6m

Solving
25 + -5m = 40 + -6m

Solving for variable 'm'.

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

Add '6m' to each side of the equation.
25 + -5m + 6m = 40 + -6m + 6m

Combine like terms: -5m + 6m = 1m
25 + 1m = 40 + -6m + 6m

Combine like terms: -6m + 6m = 0
25 + 1m = 40 + 0
25 + 1m = 40

Add '-25' to each side of the equation.
25 + -25 + 1m = 40 + -25

Combine like terms: 25 + -25 = 0
0 + 1m = 40 + -25
1m = 40 + -25

Combine like terms: 40 + -25 = 15
1m = 15

Divide each side by '1'.
m = 15

Simplifying
m = 15

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