6x-14=8x+19

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Solution for 6x-14=8x+19 equation:


Simplifying
6x + -14 = 8x + 19

Reorder the terms:
-14 + 6x = 8x + 19

Reorder the terms:
-14 + 6x = 19 + 8x

Solving
-14 + 6x = 19 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-14 + 6x + -8x = 19 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-14 + -2x = 19 + 8x + -8x

Combine like terms: 8x + -8x = 0
-14 + -2x = 19 + 0
-14 + -2x = 19

Add '14' to each side of the equation.
-14 + 14 + -2x = 19 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = 19 + 14
-2x = 19 + 14

Combine like terms: 19 + 14 = 33
-2x = 33

Divide each side by '-2'.
x = -16.5

Simplifying
x = -16.5

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