5x+14=10-x

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Solution for 5x+14=10-x equation:


Simplifying
5x + 14 = 10 + -1x

Reorder the terms:
14 + 5x = 10 + -1x

Solving
14 + 5x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
14 + 5x + x = 10 + -1x + x

Combine like terms: 5x + x = 6x
14 + 6x = 10 + -1x + x

Combine like terms: -1x + x = 0
14 + 6x = 10 + 0
14 + 6x = 10

Add '-14' to each side of the equation.
14 + -14 + 6x = 10 + -14

Combine like terms: 14 + -14 = 0
0 + 6x = 10 + -14
6x = 10 + -14

Combine like terms: 10 + -14 = -4
6x = -4

Divide each side by '6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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