4x-10=9(3a^3-1)-3x(a-1)

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Solution for 4x-10=9(3a^3-1)-3x(a-1) equation: 


Simplifying
4x + -10 = 9(3a3 + -1) + -3x(a + -1)

Reorder the terms:
-10 + 4x = 9(3a3 + -1) + -3x(a + -1)

Reorder the terms:
-10 + 4x = 9(-1 + 3a3) + -3x(a + -1)
-10 + 4x = (-1 * 9 + 3a3 * 9) + -3x(a + -1)
-10 + 4x = (-9 + 27a3) + -3x(a + -1)

Reorder the terms:
-10 + 4x = -9 + 27a3 + -3x(-1 + a)
-10 + 4x = -9 + 27a3 + (-1 * -3x + a * -3x)

Reorder the terms:
-10 + 4x = -9 + 27a3 + (-3ax + 3x)
-10 + 4x = -9 + 27a3 + (-3ax + 3x)

Reorder the terms:
-10 + 4x = -9 + -3ax + 27a3 + 3x

Solving
-10 + 4x = -9 + -3ax + 27a3 + 3x

Solving for variable 'x'.

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

Add '3ax' to each side of the equation.
-10 + 3ax + 4x = -9 + -3ax + 27a3 + 3ax + 3x

Reorder the terms:
-10 + 3ax + 4x = -9 + -3ax + 3ax + 27a3 + 3x

Combine like terms: -3ax + 3ax = 0
-10 + 3ax + 4x = -9 + 0 + 27a3 + 3x
-10 + 3ax + 4x = -9 + 27a3 + 3x

Add '-3x' to each side of the equation.
-10 + 3ax + 4x + -3x = -9 + 27a3 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-10 + 3ax + 1x = -9 + 27a3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 3ax + 1x = -9 + 27a3 + 0
-10 + 3ax + 1x = -9 + 27a3

Add '10' to each side of the equation.
-10 + 3ax + 10 + 1x = -9 + 10 + 27a3

Reorder the terms:
-10 + 10 + 3ax + 1x = -9 + 10 + 27a3

Combine like terms: -10 + 10 = 0
0 + 3ax + 1x = -9 + 10 + 27a3
3ax + 1x = -9 + 10 + 27a3

Combine like terms: -9 + 10 = 1
3ax + 1x = 1 + 27a3

Reorder the terms:
-1 + 3ax + -27a3 + 1x = 1 + 27a3 + -1 + -27a3

Reorder the terms:
-1 + 3ax + -27a3 + 1x = 1 + -1 + 27a3 + -27a3

Combine like terms: 1 + -1 = 0
-1 + 3ax + -27a3 + 1x = 0 + 27a3 + -27a3
-1 + 3ax + -27a3 + 1x = 27a3 + -27a3

Combine like terms: 27a3 + -27a3 = 0
-1 + 3ax + -27a3 + 1x = 0

The solution to this equation could not be determined.

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