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

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


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

Reorder the terms:
3(5 + 2m) = 2(m + -5) + 5
(5 * 3 + 2m * 3) = 2(m + -5) + 5
(15 + 6m) = 2(m + -5) + 5

Reorder the terms:
15 + 6m = 2(-5 + m) + 5
15 + 6m = (-5 * 2 + m * 2) + 5
15 + 6m = (-10 + 2m) + 5

Reorder the terms:
15 + 6m = -10 + 5 + 2m

Combine like terms: -10 + 5 = -5
15 + 6m = -5 + 2m

Solving
15 + 6m = -5 + 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.
15 + 6m + -2m = -5 + 2m + -2m

Combine like terms: 6m + -2m = 4m
15 + 4m = -5 + 2m + -2m

Combine like terms: 2m + -2m = 0
15 + 4m = -5 + 0
15 + 4m = -5

Add '-15' to each side of the equation.
15 + -15 + 4m = -5 + -15

Combine like terms: 15 + -15 = 0
0 + 4m = -5 + -15
4m = -5 + -15

Combine like terms: -5 + -15 = -20
4m = -20

Divide each side by '4'.
m = -5

Simplifying
m = -5

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