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

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Solution for 6(m+5)=5(2m-4) equation:


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

Reorder the terms:
6(5 + m) = 5(2m + -4)
(5 * 6 + m * 6) = 5(2m + -4)
(30 + 6m) = 5(2m + -4)

Reorder the terms:
30 + 6m = 5(-4 + 2m)
30 + 6m = (-4 * 5 + 2m * 5)
30 + 6m = (-20 + 10m)

Solving
30 + 6m = -20 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
30 + 6m + -10m = -20 + 10m + -10m

Combine like terms: 6m + -10m = -4m
30 + -4m = -20 + 10m + -10m

Combine like terms: 10m + -10m = 0
30 + -4m = -20 + 0
30 + -4m = -20

Add '-30' to each side of the equation.
30 + -30 + -4m = -20 + -30

Combine like terms: 30 + -30 = 0
0 + -4m = -20 + -30
-4m = -20 + -30

Combine like terms: -20 + -30 = -50
-4m = -50

Divide each side by '-4'.
m = 12.5

Simplifying
m = 12.5

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