2(3m+5)=16+3(m+2)

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Solution for 2(3m+5)=16+3(m+2) equation: 


Simplifying
2(3m + 5) = 16 + 3(m + 2)

Reorder the terms:
2(5 + 3m) = 16 + 3(m + 2)
(5 * 2 + 3m * 2) = 16 + 3(m + 2)
(10 + 6m) = 16 + 3(m + 2)

Reorder the terms:
10 + 6m = 16 + 3(2 + m)
10 + 6m = 16 + (2 * 3 + m * 3)
10 + 6m = 16 + (6 + 3m)

Combine like terms: 16 + 6 = 22
10 + 6m = 22 + 3m

Solving
10 + 6m = 22 + 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.
10 + 6m + -3m = 22 + 3m + -3m

Combine like terms: 6m + -3m = 3m
10 + 3m = 22 + 3m + -3m

Combine like terms: 3m + -3m = 0
10 + 3m = 22 + 0
10 + 3m = 22

Add '-10' to each side of the equation.
10 + -10 + 3m = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 3m = 22 + -10
3m = 22 + -10

Combine like terms: 22 + -10 = 12
3m = 12

Divide each side by '3'.
m = 4

Simplifying
m = 4

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