6x+14=102-5x

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Solution for 6x+14=102-5x equation:


Simplifying
6x + 14 = 102 + -5x

Reorder the terms:
14 + 6x = 102 + -5x

Solving
14 + 6x = 102 + -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 + 6x + 5x = 102 + -5x + 5x

Combine like terms: 6x + 5x = 11x
14 + 11x = 102 + -5x + 5x

Combine like terms: -5x + 5x = 0
14 + 11x = 102 + 0
14 + 11x = 102

Add '-14' to each side of the equation.
14 + -14 + 11x = 102 + -14

Combine like terms: 14 + -14 = 0
0 + 11x = 102 + -14
11x = 102 + -14

Combine like terms: 102 + -14 = 88
11x = 88

Divide each side by '11'.
x = 8

Simplifying
x = 8

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