6(5m-3)=4(5m+3)

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Solution for 6(5m-3)=4(5m+3) equation:


Simplifying
6(5m + -3) = 4(5m + 3)

Reorder the terms:
6(-3 + 5m) = 4(5m + 3)
(-3 * 6 + 5m * 6) = 4(5m + 3)
(-18 + 30m) = 4(5m + 3)

Reorder the terms:
-18 + 30m = 4(3 + 5m)
-18 + 30m = (3 * 4 + 5m * 4)
-18 + 30m = (12 + 20m)

Solving
-18 + 30m = 12 + 20m

Solving for variable 'm'.

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

Add '-20m' to each side of the equation.
-18 + 30m + -20m = 12 + 20m + -20m

Combine like terms: 30m + -20m = 10m
-18 + 10m = 12 + 20m + -20m

Combine like terms: 20m + -20m = 0
-18 + 10m = 12 + 0
-18 + 10m = 12

Add '18' to each side of the equation.
-18 + 18 + 10m = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 10m = 12 + 18
10m = 12 + 18

Combine like terms: 12 + 18 = 30
10m = 30

Divide each side by '10'.
m = 3

Simplifying
m = 3

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