5(2m-9)=3(m+8)

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Solution for 5(2m-9)=3(m+8) equation:


Simplifying
5(2m + -9) = 3(m + 8)

Reorder the terms:
5(-9 + 2m) = 3(m + 8)
(-9 * 5 + 2m * 5) = 3(m + 8)
(-45 + 10m) = 3(m + 8)

Reorder the terms:
-45 + 10m = 3(8 + m)
-45 + 10m = (8 * 3 + m * 3)
-45 + 10m = (24 + 3m)

Solving
-45 + 10m = 24 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-45 + 10m + -3m = 24 + 3m + -3m

Combine like terms: 10m + -3m = 7m
-45 + 7m = 24 + 3m + -3m

Combine like terms: 3m + -3m = 0
-45 + 7m = 24 + 0
-45 + 7m = 24

Add '45' to each side of the equation.
-45 + 45 + 7m = 24 + 45

Combine like terms: -45 + 45 = 0
0 + 7m = 24 + 45
7m = 24 + 45

Combine like terms: 24 + 45 = 69
7m = 69

Divide each side by '7'.
m = 9.857142857

Simplifying
m = 9.857142857

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