5(m+7)=2(5-m)+6

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Solution for 5(m+7)=2(5-m)+6 equation:


Simplifying
5(m + 7) = 2(5 + -1m) + 6

Reorder the terms:
5(7 + m) = 2(5 + -1m) + 6
(7 * 5 + m * 5) = 2(5 + -1m) + 6
(35 + 5m) = 2(5 + -1m) + 6
35 + 5m = (5 * 2 + -1m * 2) + 6
35 + 5m = (10 + -2m) + 6

Reorder the terms:
35 + 5m = 10 + 6 + -2m

Combine like terms: 10 + 6 = 16
35 + 5m = 16 + -2m

Solving
35 + 5m = 16 + -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.
35 + 5m + 2m = 16 + -2m + 2m

Combine like terms: 5m + 2m = 7m
35 + 7m = 16 + -2m + 2m

Combine like terms: -2m + 2m = 0
35 + 7m = 16 + 0
35 + 7m = 16

Add '-35' to each side of the equation.
35 + -35 + 7m = 16 + -35

Combine like terms: 35 + -35 = 0
0 + 7m = 16 + -35
7m = 16 + -35

Combine like terms: 16 + -35 = -19
7m = -19

Divide each side by '7'.
m = -2.714285714

Simplifying
m = -2.714285714

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