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

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


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

Reorder the terms:
14 + -1(-1m + x) = 3(x + 9) + 10
14 + (-1m * -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 = 37
14 + 1m + -1x = 37 + 3x

Solving
14 + 1m + -1x = 37 + 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 = 37 + -14 + 3x

Reorder the terms:
14 + -14 + 1m + -1x = 37 + -14 + 3x

Combine like terms: 14 + -14 = 0
0 + 1m + -1x = 37 + -14 + 3x
1m + -1x = 37 + -14 + 3x

Combine like terms: 37 + -14 = 23
1m + -1x = 23 + 3x

Add 'x' to each side of the equation.
1m + -1x + x = 23 + 3x + x

Combine like terms: -1x + x = 0
1m + 0 = 23 + 3x + x
1m = 23 + 3x + x

Combine like terms: 3x + x = 4x
1m = 23 + 4x

Divide each side by '1'.
m = 23 + 4x

Simplifying
m = 23 + 4x

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