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

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


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

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

Reorder the terms for easier multiplication:
3 + -2x = 9(3 + 2x) + -4x
3 + -2x = (3 * 9 + 2x * 9) + -4x
3 + -2x = (27 + 18x) + -4x

Combine like terms: 18x + -4x = 14x
3 + -2x = 27 + 14x

Solving
3 + -2x = 27 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
3 + -2x + -14x = 27 + 14x + -14x

Combine like terms: -2x + -14x = -16x
3 + -16x = 27 + 14x + -14x

Combine like terms: 14x + -14x = 0
3 + -16x = 27 + 0
3 + -16x = 27

Add '-3' to each side of the equation.
3 + -3 + -16x = 27 + -3

Combine like terms: 3 + -3 = 0
0 + -16x = 27 + -3
-16x = 27 + -3

Combine like terms: 27 + -3 = 24
-16x = 24

Divide each side by '-16'.
x = -1.5

Simplifying
x = -1.5

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