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

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


Simplifying
3(m + 5) + -5 = (m + 3)

Reorder the terms:
3(5 + m) + -5 = (m + 3)
(5 * 3 + m * 3) + -5 = (m + 3)
(15 + 3m) + -5 = (m + 3)

Reorder the terms:
15 + -5 + 3m = (m + 3)

Combine like terms: 15 + -5 = 10
10 + 3m = (m + 3)

Reorder the terms:
10 + 3m = (3 + m)

Remove parenthesis around (3 + m)
10 + 3m = 3 + m

Solving
10 + 3m = 3 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
10 + 3m + -1m = 3 + m + -1m

Combine like terms: 3m + -1m = 2m
10 + 2m = 3 + m + -1m

Combine like terms: m + -1m = 0
10 + 2m = 3 + 0
10 + 2m = 3

Add '-10' to each side of the equation.
10 + -10 + 2m = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 2m = 3 + -10
2m = 3 + -10

Combine like terms: 3 + -10 = -7
2m = -7

Divide each side by '2'.
m = -3.5

Simplifying
m = -3.5

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