12(x^3-2)-7x(x^2-1)=5x^3

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Solution for 12(x^3-2)-7x(x^2-1)=5x^3 equation:


Simplifying
12(x3 + -2) + -7x(x2 + -1) = 5x3

Reorder the terms:
12(-2 + x3) + -7x(x2 + -1) = 5x3
(-2 * 12 + x3 * 12) + -7x(x2 + -1) = 5x3
(-24 + 12x3) + -7x(x2 + -1) = 5x3

Reorder the terms:
-24 + 12x3 + -7x(-1 + x2) = 5x3
-24 + 12x3 + (-1 * -7x + x2 * -7x) = 5x3
-24 + 12x3 + (7x + -7x3) = 5x3

Reorder the terms:
-24 + 7x + 12x3 + -7x3 = 5x3

Combine like terms: 12x3 + -7x3 = 5x3
-24 + 7x + 5x3 = 5x3

Add '-5x3' to each side of the equation.
-24 + 7x + 5x3 + -5x3 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-24 + 7x + 0 = 5x3 + -5x3
-24 + 7x = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-24 + 7x = 0

Solving
-24 + 7x = 0

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 7x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 7x = 0 + 24
7x = 0 + 24

Combine like terms: 0 + 24 = 24
7x = 24

Divide each side by '7'.
x = 3.428571429

Simplifying
x = 3.428571429

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