(14x-5)+(17-3x)=-6x

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Solution for (14x-5)+(17-3x)=-6x equation:


Simplifying
(14x + -5) + (17 + -3x) = -6x

Reorder the terms:
(-5 + 14x) + (17 + -3x) = -6x

Remove parenthesis around (-5 + 14x)
-5 + 14x + (17 + -3x) = -6x

Remove parenthesis around (17 + -3x)
-5 + 14x + 17 + -3x = -6x

Reorder the terms:
-5 + 17 + 14x + -3x = -6x

Combine like terms: -5 + 17 = 12
12 + 14x + -3x = -6x

Combine like terms: 14x + -3x = 11x
12 + 11x = -6x

Solving
12 + 11x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
12 + 11x + 6x = -6x + 6x

Combine like terms: 11x + 6x = 17x
12 + 17x = -6x + 6x

Combine like terms: -6x + 6x = 0
12 + 17x = 0

Add '-12' to each side of the equation.
12 + -12 + 17x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 17x = 0 + -12
17x = 0 + -12

Combine like terms: 0 + -12 = -12
17x = -12

Divide each side by '17'.
x = -0.7058823529

Simplifying
x = -0.7058823529

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