5m+6+5(2m-5)=5(m+5)

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Solution for 5m+6+5(2m-5)=5(m+5) equation:


Simplifying
5m + 6 + 5(2m + -5) = 5(m + 5)

Reorder the terms:
5m + 6 + 5(-5 + 2m) = 5(m + 5)
5m + 6 + (-5 * 5 + 2m * 5) = 5(m + 5)
5m + 6 + (-25 + 10m) = 5(m + 5)

Reorder the terms:
6 + -25 + 5m + 10m = 5(m + 5)

Combine like terms: 6 + -25 = -19
-19 + 5m + 10m = 5(m + 5)

Combine like terms: 5m + 10m = 15m
-19 + 15m = 5(m + 5)

Reorder the terms:
-19 + 15m = 5(5 + m)
-19 + 15m = (5 * 5 + m * 5)
-19 + 15m = (25 + 5m)

Solving
-19 + 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.
-19 + 15m + -5m = 25 + 5m + -5m

Combine like terms: 15m + -5m = 10m
-19 + 10m = 25 + 5m + -5m

Combine like terms: 5m + -5m = 0
-19 + 10m = 25 + 0
-19 + 10m = 25

Add '19' to each side of the equation.
-19 + 19 + 10m = 25 + 19

Combine like terms: -19 + 19 = 0
0 + 10m = 25 + 19
10m = 25 + 19

Combine like terms: 25 + 19 = 44
10m = 44

Divide each side by '10'.
m = 4.4

Simplifying
m = 4.4

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