2(3m+5)=4(4m-5)

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Solution for 2(3m+5)=4(4m-5) equation:


Simplifying
2(3m + 5) = 4(4m + -5)

Reorder the terms:
2(5 + 3m) = 4(4m + -5)
(5 * 2 + 3m * 2) = 4(4m + -5)
(10 + 6m) = 4(4m + -5)

Reorder the terms:
10 + 6m = 4(-5 + 4m)
10 + 6m = (-5 * 4 + 4m * 4)
10 + 6m = (-20 + 16m)

Solving
10 + 6m = -20 + 16m

Solving for variable 'm'.

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

Add '-16m' to each side of the equation.
10 + 6m + -16m = -20 + 16m + -16m

Combine like terms: 6m + -16m = -10m
10 + -10m = -20 + 16m + -16m

Combine like terms: 16m + -16m = 0
10 + -10m = -20 + 0
10 + -10m = -20

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

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

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

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

Simplifying
m = 3

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