3x+14=x-21

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Solution for 3x+14=x-21 equation: 


Simplifying
3x + 14 = x + -21

Reorder the terms:
14 + 3x = x + -21

Reorder the terms:
14 + 3x = -21 + x

Solving
14 + 3x = -21 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
14 + 3x + -1x = -21 + x + -1x

Combine like terms: 3x + -1x = 2x
14 + 2x = -21 + x + -1x

Combine like terms: x + -1x = 0
14 + 2x = -21 + 0
14 + 2x = -21

Add '-14' to each side of the equation.
14 + -14 + 2x = -21 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = -21 + -14
2x = -21 + -14

Combine like terms: -21 + -14 = -35
2x = -35

Divide each side by '2'.
x = -17.5

Simplifying
x = -17.5

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