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

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


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

Reorder the terms:
5m + 3(-5 + m) = -2(m + 3)
5m + (-5 * 3 + m * 3) = -2(m + 3)
5m + (-15 + 3m) = -2(m + 3)

Reorder the terms:
-15 + 5m + 3m = -2(m + 3)

Combine like terms: 5m + 3m = 8m
-15 + 8m = -2(m + 3)

Reorder the terms:
-15 + 8m = -2(3 + m)
-15 + 8m = (3 * -2 + m * -2)
-15 + 8m = (-6 + -2m)

Solving
-15 + 8m = -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.
-15 + 8m + 2m = -6 + -2m + 2m

Combine like terms: 8m + 2m = 10m
-15 + 10m = -6 + -2m + 2m

Combine like terms: -2m + 2m = 0
-15 + 10m = -6 + 0
-15 + 10m = -6

Add '15' to each side of the equation.
-15 + 15 + 10m = -6 + 15

Combine like terms: -15 + 15 = 0
0 + 10m = -6 + 15
10m = -6 + 15

Combine like terms: -6 + 15 = 9
10m = 9

Divide each side by '10'.
m = 0.9

Simplifying
m = 0.9

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