5x-8=14x+2

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Solution for 5x-8=14x+2 equation:


Simplifying
5x + -8 = 14x + 2

Reorder the terms:
-8 + 5x = 14x + 2

Reorder the terms:
-8 + 5x = 2 + 14x

Solving
-8 + 5x = 2 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-8 + 5x + -14x = 2 + 14x + -14x

Combine like terms: 5x + -14x = -9x
-8 + -9x = 2 + 14x + -14x

Combine like terms: 14x + -14x = 0
-8 + -9x = 2 + 0
-8 + -9x = 2

Add '8' to each side of the equation.
-8 + 8 + -9x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + -9x = 2 + 8
-9x = 2 + 8

Combine like terms: 2 + 8 = 10
-9x = 10

Divide each side by '-9'.
x = -1.111111111

Simplifying
x = -1.111111111

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