5(x-2)-14x=-3x-(5-4n)

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Solution for 5(x-2)-14x=-3x-(5-4n) equation:


Simplifying
5(x + -2) + -14x = -3x + -1(5 + -4n)

Reorder the terms:
5(-2 + x) + -14x = -3x + -1(5 + -4n)
(-2 * 5 + x * 5) + -14x = -3x + -1(5 + -4n)
(-10 + 5x) + -14x = -3x + -1(5 + -4n)

Combine like terms: 5x + -14x = -9x
-10 + -9x = -3x + -1(5 + -4n)
-10 + -9x = -3x + (5 * -1 + -4n * -1)
-10 + -9x = -3x + (-5 + 4n)

Reorder the terms:
-10 + -9x = -5 + 4n + -3x

Solving
-10 + -9x = -5 + 4n + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-10 + -9x + 3x = -5 + 4n + -3x + 3x

Combine like terms: -9x + 3x = -6x
-10 + -6x = -5 + 4n + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + -6x = -5 + 4n + 0
-10 + -6x = -5 + 4n

Add '10' to each side of the equation.
-10 + 10 + -6x = -5 + 10 + 4n

Combine like terms: -10 + 10 = 0
0 + -6x = -5 + 10 + 4n
-6x = -5 + 10 + 4n

Combine like terms: -5 + 10 = 5
-6x = 5 + 4n

Divide each side by '-6'.
x = -0.8333333333 + -0.6666666667n

Simplifying
x = -0.8333333333 + -0.6666666667n

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