14-(x+m)=(x+9)-10

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Solution for 14-(x+m)=(x+9)-10 equation:


Simplifying
14 + -1(x + m) = (x + 9) + -10

Reorder the terms:
14 + -1(m + x) = (x + 9) + -10
14 + (m * -1 + x * -1) = (x + 9) + -10
14 + (-1m + -1x) = (x + 9) + -10

Reorder the terms:
14 + -1m + -1x = (9 + x) + -10

Remove parenthesis around (9 + x)
14 + -1m + -1x = 9 + x + -10

Reorder the terms:
14 + -1m + -1x = 9 + -10 + x

Combine like terms: 9 + -10 = -1
14 + -1m + -1x = -1 + x

Solving
14 + -1m + -1x = -1 + x

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -1m + -14 + -1x = -1 + -14 + x

Reorder the terms:
14 + -14 + -1m + -1x = -1 + -14 + x

Combine like terms: 14 + -14 = 0
0 + -1m + -1x = -1 + -14 + x
-1m + -1x = -1 + -14 + x

Combine like terms: -1 + -14 = -15
-1m + -1x = -15 + x

Add 'x' to each side of the equation.
-1m + -1x + x = -15 + x + x

Combine like terms: -1x + x = 0
-1m + 0 = -15 + x + x
-1m = -15 + x + x

Combine like terms: x + x = 2x
-1m = -15 + 2x

Divide each side by '-1'.
m = 15 + -2x

Simplifying
m = 15 + -2x

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