14-(6x-5)=(2x-1)-4x

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Solution for 14-(6x-5)=(2x-1)-4x equation:


Simplifying
14 + -1(6x + -5) = (2x + -1) + -4x

Reorder the terms:
14 + -1(-5 + 6x) = (2x + -1) + -4x
14 + (-5 * -1 + 6x * -1) = (2x + -1) + -4x
14 + (5 + -6x) = (2x + -1) + -4x

Combine like terms: 14 + 5 = 19
19 + -6x = (2x + -1) + -4x

Reorder the terms:
19 + -6x = (-1 + 2x) + -4x

Remove parenthesis around (-1 + 2x)
19 + -6x = -1 + 2x + -4x

Combine like terms: 2x + -4x = -2x
19 + -6x = -1 + -2x

Solving
19 + -6x = -1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
19 + -6x + 2x = -1 + -2x + 2x

Combine like terms: -6x + 2x = -4x
19 + -4x = -1 + -2x + 2x

Combine like terms: -2x + 2x = 0
19 + -4x = -1 + 0
19 + -4x = -1

Add '-19' to each side of the equation.
19 + -19 + -4x = -1 + -19

Combine like terms: 19 + -19 = 0
0 + -4x = -1 + -19
-4x = -1 + -19

Combine like terms: -1 + -19 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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