6x^2+3x-14=5x-2+6x^2

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Solution for 6x^2+3x-14=5x-2+6x^2 equation:


Simplifying
6x2 + 3x + -14 = 5x + -2 + 6x2

Reorder the terms:
-14 + 3x + 6x2 = 5x + -2 + 6x2

Reorder the terms:
-14 + 3x + 6x2 = -2 + 5x + 6x2

Add '-6x2' to each side of the equation.
-14 + 3x + 6x2 + -6x2 = -2 + 5x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-14 + 3x + 0 = -2 + 5x + 6x2 + -6x2
-14 + 3x = -2 + 5x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-14 + 3x = -2 + 5x + 0
-14 + 3x = -2 + 5x

Solving
-14 + 3x = -2 + 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 + 3x + -5x = -2 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-14 + -2x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + -2x = -2 + 0
-14 + -2x = -2

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

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

Combine like terms: -2 + 14 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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