2(m-7)=5(m+5)-15

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Solution for 2(m-7)=5(m+5)-15 equation:


Simplifying
2(m + -7) = 5(m + 5) + -15

Reorder the terms:
2(-7 + m) = 5(m + 5) + -15
(-7 * 2 + m * 2) = 5(m + 5) + -15
(-14 + 2m) = 5(m + 5) + -15

Reorder the terms:
-14 + 2m = 5(5 + m) + -15
-14 + 2m = (5 * 5 + m * 5) + -15
-14 + 2m = (25 + 5m) + -15

Reorder the terms:
-14 + 2m = 25 + -15 + 5m

Combine like terms: 25 + -15 = 10
-14 + 2m = 10 + 5m

Solving
-14 + 2m = 10 + 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 + 2m + -5m = 10 + 5m + -5m

Combine like terms: 2m + -5m = -3m
-14 + -3m = 10 + 5m + -5m

Combine like terms: 5m + -5m = 0
-14 + -3m = 10 + 0
-14 + -3m = 10

Add '14' to each side of the equation.
-14 + 14 + -3m = 10 + 14

Combine like terms: -14 + 14 = 0
0 + -3m = 10 + 14
-3m = 10 + 14

Combine like terms: 10 + 14 = 24
-3m = 24

Divide each side by '-3'.
m = -8

Simplifying
m = -8

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