(2-3x)+(3-5)(-1)(-4+3)x-9x+3=15-x(5-8)

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Solution for (2-3x)+(3-5)(-1)(-4+3)x-9x+3=15-x(5-8) equation:


Simplifying
(2 + -3x) + (3 + -5)(-1)(-4 + 3) * x + -9x + 3 = 15 + -1x(5 + -8)

Remove parenthesis around (2 + -3x)
2 + -3x + (3 + -5)(-1)(-4 + 3) * x + -9x + 3 = 15 + -1x(5 + -8)

Combine like terms: 3 + -5 = -2
2 + -3x + (-2)(-1)(-4 + 3) * x + -9x + 3 = 15 + -1x(5 + -8)

Combine like terms: -4 + 3 = -1
2 + -3x + -2 * -1(-1) * x + -9x + 3 = 15 + -1x(5 + -8)

Multiply -2 * -1
2 + -3x + 2 * -1x + -9x + 3 = 15 + -1x(5 + -8)

Multiply 2 * -1
2 + -3x + -2x + -9x + 3 = 15 + -1x(5 + -8)

Reorder the terms:
2 + 3 + -3x + -2x + -9x = 15 + -1x(5 + -8)

Combine like terms: 2 + 3 = 5
5 + -3x + -2x + -9x = 15 + -1x(5 + -8)

Combine like terms: -3x + -2x = -5x
5 + -5x + -9x = 15 + -1x(5 + -8)

Combine like terms: -5x + -9x = -14x
5 + -14x = 15 + -1x(5 + -8)

Combine like terms: 5 + -8 = -3
5 + -14x = 15 + -1x(-3)

Reorder the terms for easier multiplication:
5 + -14x = 15 + -1 * -3x

Multiply -1 * -3
5 + -14x = 15 + 3x

Solving
5 + -14x = 15 + 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.
5 + -14x + -3x = 15 + 3x + -3x

Combine like terms: -14x + -3x = -17x
5 + -17x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -17x = 15 + 0
5 + -17x = 15

Add '-5' to each side of the equation.
5 + -5 + -17x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + -17x = 15 + -5
-17x = 15 + -5

Combine like terms: 15 + -5 = 10
-17x = 10

Divide each side by '-17'.
x = -0.5882352941

Simplifying
x = -0.5882352941

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