3m+7+3(4m-5)=5(m+5)

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Solution for 3m+7+3(4m-5)=5(m+5) equation:


Simplifying
3m + 7 + 3(4m + -5) = 5(m + 5)

Reorder the terms:
3m + 7 + 3(-5 + 4m) = 5(m + 5)
3m + 7 + (-5 * 3 + 4m * 3) = 5(m + 5)
3m + 7 + (-15 + 12m) = 5(m + 5)

Reorder the terms:
7 + -15 + 3m + 12m = 5(m + 5)

Combine like terms: 7 + -15 = -8
-8 + 3m + 12m = 5(m + 5)

Combine like terms: 3m + 12m = 15m
-8 + 15m = 5(m + 5)

Reorder the terms:
-8 + 15m = 5(5 + m)
-8 + 15m = (5 * 5 + m * 5)
-8 + 15m = (25 + 5m)

Solving
-8 + 15m = 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.
-8 + 15m + -5m = 25 + 5m + -5m

Combine like terms: 15m + -5m = 10m
-8 + 10m = 25 + 5m + -5m

Combine like terms: 5m + -5m = 0
-8 + 10m = 25 + 0
-8 + 10m = 25

Add '8' to each side of the equation.
-8 + 8 + 10m = 25 + 8

Combine like terms: -8 + 8 = 0
0 + 10m = 25 + 8
10m = 25 + 8

Combine like terms: 25 + 8 = 33
10m = 33

Divide each side by '10'.
m = 3.3

Simplifying
m = 3.3

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