16-(x-m)=3x+17

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Solution for 16-(x-m)=3x+17 equation:


Simplifying
16 + -1(x + -1m) = 3x + 17

Reorder the terms:
16 + -1(-1m + x) = 3x + 17
16 + (-1m * -1 + x * -1) = 3x + 17
16 + (1m + -1x) = 3x + 17

Reorder the terms:
16 + 1m + -1x = 17 + 3x

Solving
16 + 1m + -1x = 17 + 3x

Solving for variable 'm'.

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

Add '-16' to each side of the equation.
16 + 1m + -16 + -1x = 17 + -16 + 3x

Reorder the terms:
16 + -16 + 1m + -1x = 17 + -16 + 3x

Combine like terms: 16 + -16 = 0
0 + 1m + -1x = 17 + -16 + 3x
1m + -1x = 17 + -16 + 3x

Combine like terms: 17 + -16 = 1
1m + -1x = 1 + 3x

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

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

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

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

Simplifying
m = 1 + 4x

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