5x+14=106-10x

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Solution for 5x+14=106-10x equation:


Simplifying
5x + 14 = 106 + -10x

Reorder the terms:
14 + 5x = 106 + -10x

Solving
14 + 5x = 106 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
14 + 5x + 10x = 106 + -10x + 10x

Combine like terms: 5x + 10x = 15x
14 + 15x = 106 + -10x + 10x

Combine like terms: -10x + 10x = 0
14 + 15x = 106 + 0
14 + 15x = 106

Add '-14' to each side of the equation.
14 + -14 + 15x = 106 + -14

Combine like terms: 14 + -14 = 0
0 + 15x = 106 + -14
15x = 106 + -14

Combine like terms: 106 + -14 = 92
15x = 92

Divide each side by '15'.
x = 6.133333333

Simplifying
x = 6.133333333

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