5(m-5)=2(4m+5)

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Solution for 5(m-5)=2(4m+5) equation:


Simplifying
5(m + -5) = 2(4m + 5)

Reorder the terms:
5(-5 + m) = 2(4m + 5)
(-5 * 5 + m * 5) = 2(4m + 5)
(-25 + 5m) = 2(4m + 5)

Reorder the terms:
-25 + 5m = 2(5 + 4m)
-25 + 5m = (5 * 2 + 4m * 2)
-25 + 5m = (10 + 8m)

Solving
-25 + 5m = 10 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
-25 + 5m + -8m = 10 + 8m + -8m

Combine like terms: 5m + -8m = -3m
-25 + -3m = 10 + 8m + -8m

Combine like terms: 8m + -8m = 0
-25 + -3m = 10 + 0
-25 + -3m = 10

Add '25' to each side of the equation.
-25 + 25 + -3m = 10 + 25

Combine like terms: -25 + 25 = 0
0 + -3m = 10 + 25
-3m = 10 + 25

Combine like terms: 10 + 25 = 35
-3m = 35

Divide each side by '-3'.
m = -11.66666667

Simplifying
m = -11.66666667

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