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

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


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

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

Reorder the terms:
-10 + 5m = 4(5 + 2m)
-10 + 5m = (5 * 4 + 2m * 4)
-10 + 5m = (20 + 8m)

Solving
-10 + 5m = 20 + 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.
-10 + 5m + -8m = 20 + 8m + -8m

Combine like terms: 5m + -8m = -3m
-10 + -3m = 20 + 8m + -8m

Combine like terms: 8m + -8m = 0
-10 + -3m = 20 + 0
-10 + -3m = 20

Add '10' to each side of the equation.
-10 + 10 + -3m = 20 + 10

Combine like terms: -10 + 10 = 0
0 + -3m = 20 + 10
-3m = 20 + 10

Combine like terms: 20 + 10 = 30
-3m = 30

Divide each side by '-3'.
m = -10

Simplifying
m = -10

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