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

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Solution for 14-1(x+m)=3(x+9)-10 equation: 


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

Reorder the terms:
14 + -1(m + x) = 3(x + 9) + -10
14 + (m * -1 + x * -1) = 3(x + 9) + -10
14 + (-1m + -1x) = 3(x + 9) + -10

Reorder the terms:
14 + -1m + -1x = 3(9 + x) + -10
14 + -1m + -1x = (9 * 3 + x * 3) + -10
14 + -1m + -1x = (27 + 3x) + -10

Reorder the terms:
14 + -1m + -1x = 27 + -10 + 3x

Combine like terms: 27 + -10 = 17
14 + -1m + -1x = 17 + 3x

Solving
14 + -1m + -1x = 17 + 3x

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 = 17 + -14 + 3x

Reorder the terms:
14 + -14 + -1m + -1x = 17 + -14 + 3x

Combine like terms: 14 + -14 = 0
0 + -1m + -1x = 17 + -14 + 3x
-1m + -1x = 17 + -14 + 3x

Combine like terms: 17 + -14 = 3
-1m + -1x = 3 + 3x

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

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

Combine like terms: 3x + x = 4x
-1m = 3 + 4x

Divide each side by '-1'.
m = -3 + -4x

Simplifying
m = -3 + -4x

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