-2(3x-2)=5(4x-1)+9

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Solution for -2(3x-2)=5(4x-1)+9 equation:


Simplifying
-2(3x + -2) = 5(4x + -1) + 9

Reorder the terms:
-2(-2 + 3x) = 5(4x + -1) + 9
(-2 * -2 + 3x * -2) = 5(4x + -1) + 9
(4 + -6x) = 5(4x + -1) + 9

Reorder the terms:
4 + -6x = 5(-1 + 4x) + 9
4 + -6x = (-1 * 5 + 4x * 5) + 9
4 + -6x = (-5 + 20x) + 9

Reorder the terms:
4 + -6x = -5 + 9 + 20x

Combine like terms: -5 + 9 = 4
4 + -6x = 4 + 20x

Add '-4' to each side of the equation.
4 + -4 + -6x = 4 + -4 + 20x

Combine like terms: 4 + -4 = 0
0 + -6x = 4 + -4 + 20x
-6x = 4 + -4 + 20x

Combine like terms: 4 + -4 = 0
-6x = 0 + 20x
-6x = 20x

Solving
-6x = 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-6x + -20x = 20x + -20x

Combine like terms: -6x + -20x = -26x
-26x = 20x + -20x

Combine like terms: 20x + -20x = 0
-26x = 0

Divide each side by '-26'.
x = 0

Simplifying
x = 0

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