2x+16-x=9+3x-5

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Solution for 2x+16-x=9+3x-5 equation:


Simplifying
2x + 16 + -1x = 9 + 3x + -5

Reorder the terms:
16 + 2x + -1x = 9 + 3x + -5

Combine like terms: 2x + -1x = 1x
16 + 1x = 9 + 3x + -5

Reorder the terms:
16 + 1x = 9 + -5 + 3x

Combine like terms: 9 + -5 = 4
16 + 1x = 4 + 3x

Solving
16 + 1x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + 1x + -3x = 4 + 3x + -3x

Combine like terms: 1x + -3x = -2x
16 + -2x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -2x = 4 + 0
16 + -2x = 4

Add '-16' to each side of the equation.
16 + -16 + -2x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 4 + -16
-2x = 4 + -16

Combine like terms: 4 + -16 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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