3(x-9)-9=-4(-5x+6)-8x

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Solution for 3(x-9)-9=-4(-5x+6)-8x equation:


Simplifying
3(x + -9) + -9 = -4(-5x + 6) + -8x

Reorder the terms:
3(-9 + x) + -9 = -4(-5x + 6) + -8x
(-9 * 3 + x * 3) + -9 = -4(-5x + 6) + -8x
(-27 + 3x) + -9 = -4(-5x + 6) + -8x

Reorder the terms:
-27 + -9 + 3x = -4(-5x + 6) + -8x

Combine like terms: -27 + -9 = -36
-36 + 3x = -4(-5x + 6) + -8x

Reorder the terms:
-36 + 3x = -4(6 + -5x) + -8x
-36 + 3x = (6 * -4 + -5x * -4) + -8x
-36 + 3x = (-24 + 20x) + -8x

Combine like terms: 20x + -8x = 12x
-36 + 3x = -24 + 12x

Solving
-36 + 3x = -24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-36 + 3x + -12x = -24 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-36 + -9x = -24 + 12x + -12x

Combine like terms: 12x + -12x = 0
-36 + -9x = -24 + 0
-36 + -9x = -24

Add '36' to each side of the equation.
-36 + 36 + -9x = -24 + 36

Combine like terms: -36 + 36 = 0
0 + -9x = -24 + 36
-9x = -24 + 36

Combine like terms: -24 + 36 = 12
-9x = 12

Divide each side by '-9'.
x = -1.333333333

Simplifying
x = -1.333333333

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