3x+14-x=8+5x-6

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Solution for 3x+14-x=8+5x-6 equation:


Simplifying
3x + 14 + -1x = 8 + 5x + -6

Reorder the terms:
14 + 3x + -1x = 8 + 5x + -6

Combine like terms: 3x + -1x = 2x
14 + 2x = 8 + 5x + -6

Reorder the terms:
14 + 2x = 8 + -6 + 5x

Combine like terms: 8 + -6 = 2
14 + 2x = 2 + 5x

Solving
14 + 2x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
14 + 2x + -5x = 2 + 5x + -5x

Combine like terms: 2x + -5x = -3x
14 + -3x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -3x = 2 + 0
14 + -3x = 2

Add '-14' to each side of the equation.
14 + -14 + -3x = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 2 + -14
-3x = 2 + -14

Combine like terms: 2 + -14 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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