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

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


Simplifying
5(m + 4) = -2(4 + -1m) + 3

Reorder the terms:
5(4 + m) = -2(4 + -1m) + 3
(4 * 5 + m * 5) = -2(4 + -1m) + 3
(20 + 5m) = -2(4 + -1m) + 3
20 + 5m = (4 * -2 + -1m * -2) + 3
20 + 5m = (-8 + 2m) + 3

Reorder the terms:
20 + 5m = -8 + 3 + 2m

Combine like terms: -8 + 3 = -5
20 + 5m = -5 + 2m

Solving
20 + 5m = -5 + 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 = -5 + 2m + -2m

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

Combine like terms: 2m + -2m = 0
20 + 3m = -5 + 0
20 + 3m = -5

Add '-20' to each side of the equation.
20 + -20 + 3m = -5 + -20

Combine like terms: 20 + -20 = 0
0 + 3m = -5 + -20
3m = -5 + -20

Combine like terms: -5 + -20 = -25
3m = -25

Divide each side by '3'.
m = -8.333333333

Simplifying
m = -8.333333333

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