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

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


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

Reorder the terms:
2(-9 + x) + -4 = -3(-5x + 8) + -9x
(-9 * 2 + x * 2) + -4 = -3(-5x + 8) + -9x
(-18 + 2x) + -4 = -3(-5x + 8) + -9x

Reorder the terms:
-18 + -4 + 2x = -3(-5x + 8) + -9x

Combine like terms: -18 + -4 = -22
-22 + 2x = -3(-5x + 8) + -9x

Reorder the terms:
-22 + 2x = -3(8 + -5x) + -9x
-22 + 2x = (8 * -3 + -5x * -3) + -9x
-22 + 2x = (-24 + 15x) + -9x

Combine like terms: 15x + -9x = 6x
-22 + 2x = -24 + 6x

Solving
-22 + 2x = -24 + 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.
-22 + 2x + -6x = -24 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-22 + -4x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-22 + -4x = -24 + 0
-22 + -4x = -24

Add '22' to each side of the equation.
-22 + 22 + -4x = -24 + 22

Combine like terms: -22 + 22 = 0
0 + -4x = -24 + 22
-4x = -24 + 22

Combine like terms: -24 + 22 = -2
-4x = -2

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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