x+14=5x-6

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


Simplifying
x + 14 = 5x + -6

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

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

Solving
14 + x = -6 + 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 + x + -5x = -6 + 5x + -5x

Combine like terms: x + -5x = -4x
14 + -4x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -4x = -6 + 0
14 + -4x = -6

Add '-14' to each side of the equation.
14 + -14 + -4x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = -6 + -14
-4x = -6 + -14

Combine like terms: -6 + -14 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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