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

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


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

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

Reorder the terms:
-20 + 5m = 2(3 + m)
-20 + 5m = (3 * 2 + m * 2)
-20 + 5m = (6 + 2m)

Solving
-20 + 5m = 6 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-20 + 5m + -2m = 6 + 2m + -2m

Combine like terms: 5m + -2m = 3m
-20 + 3m = 6 + 2m + -2m

Combine like terms: 2m + -2m = 0
-20 + 3m = 6 + 0
-20 + 3m = 6

Add '20' to each side of the equation.
-20 + 20 + 3m = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 3m = 6 + 20
3m = 6 + 20

Combine like terms: 6 + 20 = 26
3m = 26

Divide each side by '3'.
m = 8.666666667

Simplifying
m = 8.666666667

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