x+14=7x-8

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Solution for x+14=7x-8 equation:


Simplifying
x + 14 = 7x + -8

Reorder the terms:
14 + x = 7x + -8

Reorder the terms:
14 + x = -8 + 7x

Solving
14 + x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
14 + x + -7x = -8 + 7x + -7x

Combine like terms: x + -7x = -6x
14 + -6x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
14 + -6x = -8 + 0
14 + -6x = -8

Add '-14' to each side of the equation.
14 + -14 + -6x = -8 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = -8 + -14
-6x = -8 + -14

Combine like terms: -8 + -14 = -22
-6x = -22

Divide each side by '-6'.
x = 3.666666667

Simplifying
x = 3.666666667

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