5(m+3)+2=2m+4

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Solution for 5(m+3)+2=2m+4 equation:


Simplifying
5(m + 3) + 2 = 2m + 4

Reorder the terms:
5(3 + m) + 2 = 2m + 4
(3 * 5 + m * 5) + 2 = 2m + 4
(15 + 5m) + 2 = 2m + 4

Reorder the terms:
15 + 2 + 5m = 2m + 4

Combine like terms: 15 + 2 = 17
17 + 5m = 2m + 4

Reorder the terms:
17 + 5m = 4 + 2m

Solving
17 + 5m = 4 + 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.
17 + 5m + -2m = 4 + 2m + -2m

Combine like terms: 5m + -2m = 3m
17 + 3m = 4 + 2m + -2m

Combine like terms: 2m + -2m = 0
17 + 3m = 4 + 0
17 + 3m = 4

Add '-17' to each side of the equation.
17 + -17 + 3m = 4 + -17

Combine like terms: 17 + -17 = 0
0 + 3m = 4 + -17
3m = 4 + -17

Combine like terms: 4 + -17 = -13
3m = -13

Divide each side by '3'.
m = -4.333333333

Simplifying
m = -4.333333333

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