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 = 7m
20 + 7m = -5 + -2m + 2m

Combine like terms: -2m + 2m = 0
20 + 7m = -5 + 0
20 + 7m = -5

Add '-20' to each side of the equation.
20 + -20 + 7m = -5 + -20

Combine like terms: 20 + -20 = 0
0 + 7m = -5 + -20
7m = -5 + -20

Combine like terms: -5 + -20 = -25
7m = -25

Divide each side by '7'.
m = -3.571428571

Simplifying
m = -3.571428571

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