6x+14=78-2x

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Solution for 6x+14=78-2x equation:


Simplifying
6x + 14 = 78 + -2x

Reorder the terms:
14 + 6x = 78 + -2x

Solving
14 + 6x = 78 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
14 + 6x + 2x = 78 + -2x + 2x

Combine like terms: 6x + 2x = 8x
14 + 8x = 78 + -2x + 2x

Combine like terms: -2x + 2x = 0
14 + 8x = 78 + 0
14 + 8x = 78

Add '-14' to each side of the equation.
14 + -14 + 8x = 78 + -14

Combine like terms: 14 + -14 = 0
0 + 8x = 78 + -14
8x = 78 + -14

Combine like terms: 78 + -14 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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