-(3x-4)-5x=9x+8(3x-3)

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


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

Reorder the terms:
-1(-4 + 3x) + -5x = 9x + 8(3x + -3)
(-4 * -1 + 3x * -1) + -5x = 9x + 8(3x + -3)
(4 + -3x) + -5x = 9x + 8(3x + -3)

Combine like terms: -3x + -5x = -8x
4 + -8x = 9x + 8(3x + -3)

Reorder the terms:
4 + -8x = 9x + 8(-3 + 3x)
4 + -8x = 9x + (-3 * 8 + 3x * 8)
4 + -8x = 9x + (-24 + 24x)

Reorder the terms:
4 + -8x = -24 + 9x + 24x

Combine like terms: 9x + 24x = 33x
4 + -8x = -24 + 33x

Solving
4 + -8x = -24 + 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
4 + -8x + -33x = -24 + 33x + -33x

Combine like terms: -8x + -33x = -41x
4 + -41x = -24 + 33x + -33x

Combine like terms: 33x + -33x = 0
4 + -41x = -24 + 0
4 + -41x = -24

Add '-4' to each side of the equation.
4 + -4 + -41x = -24 + -4

Combine like terms: 4 + -4 = 0
0 + -41x = -24 + -4
-41x = -24 + -4

Combine like terms: -24 + -4 = -28
-41x = -28

Divide each side by '-41'.
x = 0.6829268293

Simplifying
x = 0.6829268293

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