14-(16x-5)=5(2x-1)-4x

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Solution for 14-(16x-5)=5(2x-1)-4x equation:


Simplifying
14 + -1(16x + -5) = 5(2x + -1) + -4x

Reorder the terms:
14 + -1(-5 + 16x) = 5(2x + -1) + -4x
14 + (-5 * -1 + 16x * -1) = 5(2x + -1) + -4x
14 + (5 + -16x) = 5(2x + -1) + -4x

Combine like terms: 14 + 5 = 19
19 + -16x = 5(2x + -1) + -4x

Reorder the terms:
19 + -16x = 5(-1 + 2x) + -4x
19 + -16x = (-1 * 5 + 2x * 5) + -4x
19 + -16x = (-5 + 10x) + -4x

Combine like terms: 10x + -4x = 6x
19 + -16x = -5 + 6x

Solving
19 + -16x = -5 + 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.
19 + -16x + -6x = -5 + 6x + -6x

Combine like terms: -16x + -6x = -22x
19 + -22x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
19 + -22x = -5 + 0
19 + -22x = -5

Add '-19' to each side of the equation.
19 + -19 + -22x = -5 + -19

Combine like terms: 19 + -19 = 0
0 + -22x = -5 + -19
-22x = -5 + -19

Combine like terms: -5 + -19 = -24
-22x = -24

Divide each side by '-22'.
x = 1.090909091

Simplifying
x = 1.090909091

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