3(m-1)=5(2m+4)

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Solution for 3(m-1)=5(2m+4) equation:


Simplifying
3(m + -1) = 5(2m + 4)

Reorder the terms:
3(-1 + m) = 5(2m + 4)
(-1 * 3 + m * 3) = 5(2m + 4)
(-3 + 3m) = 5(2m + 4)

Reorder the terms:
-3 + 3m = 5(4 + 2m)
-3 + 3m = (4 * 5 + 2m * 5)
-3 + 3m = (20 + 10m)

Solving
-3 + 3m = 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.
-3 + 3m + -10m = 20 + 10m + -10m

Combine like terms: 3m + -10m = -7m
-3 + -7m = 20 + 10m + -10m

Combine like terms: 10m + -10m = 0
-3 + -7m = 20 + 0
-3 + -7m = 20

Add '3' to each side of the equation.
-3 + 3 + -7m = 20 + 3

Combine like terms: -3 + 3 = 0
0 + -7m = 20 + 3
-7m = 20 + 3

Combine like terms: 20 + 3 = 23
-7m = 23

Divide each side by '-7'.
m = -3.285714286

Simplifying
m = -3.285714286

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