14-(5+m)=3(x+9)-10

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Solution for 14-(5+m)=3(x+9)-10 equation:


Simplifying
14 + -1(5 + m) = 3(x + 9) + -10
14 + (5 * -1 + m * -1) = 3(x + 9) + -10
14 + (-5 + -1m) = 3(x + 9) + -10

Combine like terms: 14 + -5 = 9
9 + -1m = 3(x + 9) + -10

Reorder the terms:
9 + -1m = 3(9 + x) + -10
9 + -1m = (9 * 3 + x * 3) + -10
9 + -1m = (27 + 3x) + -10

Reorder the terms:
9 + -1m = 27 + -10 + 3x

Combine like terms: 27 + -10 = 17
9 + -1m = 17 + 3x

Solving
9 + -1m = 17 + 3x

Solving for variable 'm'.

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

Add '-9' to each side of the equation.
9 + -9 + -1m = 17 + -9 + 3x

Combine like terms: 9 + -9 = 0
0 + -1m = 17 + -9 + 3x
-1m = 17 + -9 + 3x

Combine like terms: 17 + -9 = 8
-1m = 8 + 3x

Divide each side by '-1'.
m = -8 + -3x

Simplifying
m = -8 + -3x

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