5m+3(m-5)=-(2m+15)

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Solution for 5m+3(m-5)=-(2m+15) equation:


Simplifying
5m + 3(m + -5) = -1(2m + 15)

Reorder the terms:
5m + 3(-5 + m) = -1(2m + 15)
5m + (-5 * 3 + m * 3) = -1(2m + 15)
5m + (-15 + 3m) = -1(2m + 15)

Reorder the terms:
-15 + 5m + 3m = -1(2m + 15)

Combine like terms: 5m + 3m = 8m
-15 + 8m = -1(2m + 15)

Reorder the terms:
-15 + 8m = -1(15 + 2m)
-15 + 8m = (15 * -1 + 2m * -1)
-15 + 8m = (-15 + -2m)

Add '15' to each side of the equation.
-15 + 15 + 8m = -15 + 15 + -2m

Combine like terms: -15 + 15 = 0
0 + 8m = -15 + 15 + -2m
8m = -15 + 15 + -2m

Combine like terms: -15 + 15 = 0
8m = 0 + -2m
8m = -2m

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

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

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

Divide each side by '10'.
m = 0.0

Simplifying
m = 0.0

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