3(m-1)=5(m+5)-10

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Solution for 3(m-1)=5(m+5)-10 equation:


Simplifying
3(m + -1) = 5(m + 5) + -10

Reorder the terms:
3(-1 + m) = 5(m + 5) + -10
(-1 * 3 + m * 3) = 5(m + 5) + -10
(-3 + 3m) = 5(m + 5) + -10

Reorder the terms:
-3 + 3m = 5(5 + m) + -10
-3 + 3m = (5 * 5 + m * 5) + -10
-3 + 3m = (25 + 5m) + -10

Reorder the terms:
-3 + 3m = 25 + -10 + 5m

Combine like terms: 25 + -10 = 15
-3 + 3m = 15 + 5m

Solving
-3 + 3m = 15 + 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.
-3 + 3m + -5m = 15 + 5m + -5m

Combine like terms: 3m + -5m = -2m
-3 + -2m = 15 + 5m + -5m

Combine like terms: 5m + -5m = 0
-3 + -2m = 15 + 0
-3 + -2m = 15

Add '3' to each side of the equation.
-3 + 3 + -2m = 15 + 3

Combine like terms: -3 + 3 = 0
0 + -2m = 15 + 3
-2m = 15 + 3

Combine like terms: 15 + 3 = 18
-2m = 18

Divide each side by '-2'.
m = -9

Simplifying
m = -9

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