5m+6+4(3m-5)=5(m+5)

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Solution for 5m+6+4(3m-5)=5(m+5) equation:


Simplifying
5m + 6 + 4(3m + -5) = 5(m + 5)

Reorder the terms:
5m + 6 + 4(-5 + 3m) = 5(m + 5)
5m + 6 + (-5 * 4 + 3m * 4) = 5(m + 5)
5m + 6 + (-20 + 12m) = 5(m + 5)

Reorder the terms:
6 + -20 + 5m + 12m = 5(m + 5)

Combine like terms: 6 + -20 = -14
-14 + 5m + 12m = 5(m + 5)

Combine like terms: 5m + 12m = 17m
-14 + 17m = 5(m + 5)

Reorder the terms:
-14 + 17m = 5(5 + m)
-14 + 17m = (5 * 5 + m * 5)
-14 + 17m = (25 + 5m)

Solving
-14 + 17m = 25 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-14 + 17m + -5m = 25 + 5m + -5m

Combine like terms: 17m + -5m = 12m
-14 + 12m = 25 + 5m + -5m

Combine like terms: 5m + -5m = 0
-14 + 12m = 25 + 0
-14 + 12m = 25

Add '14' to each side of the equation.
-14 + 14 + 12m = 25 + 14

Combine like terms: -14 + 14 = 0
0 + 12m = 25 + 14
12m = 25 + 14

Combine like terms: 25 + 14 = 39
12m = 39

Divide each side by '12'.
m = 3.25

Simplifying
m = 3.25

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