5-2(m+6)=3m+8

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Solution for 5-2(m+6)=3m+8 equation:


Simplifying
5 + -2(m + 6) = 3m + 8

Reorder the terms:
5 + -2(6 + m) = 3m + 8
5 + (6 * -2 + m * -2) = 3m + 8
5 + (-12 + -2m) = 3m + 8

Combine like terms: 5 + -12 = -7
-7 + -2m = 3m + 8

Reorder the terms:
-7 + -2m = 8 + 3m

Solving
-7 + -2m = 8 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-7 + -2m + -3m = 8 + 3m + -3m

Combine like terms: -2m + -3m = -5m
-7 + -5m = 8 + 3m + -3m

Combine like terms: 3m + -3m = 0
-7 + -5m = 8 + 0
-7 + -5m = 8

Add '7' to each side of the equation.
-7 + 7 + -5m = 8 + 7

Combine like terms: -7 + 7 = 0
0 + -5m = 8 + 7
-5m = 8 + 7

Combine like terms: 8 + 7 = 15
-5m = 15

Divide each side by '-5'.
m = -3

Simplifying
m = -3

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