x3-x=6

To write -x as a fraction with a common denominator, multiply by 33.

x3-x⋅33=6

Simplify terms.

Combine -x and 33.

x3+-x⋅33=6

Combine the numerators over the common denominator.

x-x⋅33=6

x-x⋅33=6

Simplify the numerator.

Factor x out of x-x⋅3.

Raise x to the power of 1.

x1-x⋅33=6

Factor x out of x1.

x⋅1-x⋅33=6

Factor x out of -x⋅3.

x⋅1+x(-1⋅3)3=6

Factor x out of x⋅1+x(-1⋅3).

x(1-1⋅3)3=6

x(1-1⋅3)3=6

Multiply -1 by 3.

x(1-3)3=6

Subtract 3 from 1.

x⋅-23=6

x⋅-23=6

Simplify the expression.

Move -2 to the left of x.

-2⋅x3=6

Move the negative in front of the fraction.

-2×3=6

-2×3=6

-2×3=6

Multiply both sides of the equation by -32.

-32⋅(-2×3)=-32⋅6

Simplify -32⋅(-2×3).

Cancel the common factor of 3.

Move the leading negative in -32 into the numerator.

-32⋅(-2×3)=-32⋅6

Move the leading negative in -2×3 into the numerator.

-32⋅-2×3=-32⋅6

Factor 3 out of -3.

3(-1)2⋅-2×3=-32⋅6

Cancel the common factor.

3⋅-12⋅-2×3=-32⋅6

Rewrite the expression.

-12⋅(-2x)=-32⋅6

-12⋅(-2x)=-32⋅6

Cancel the common factor of 2.

Factor 2 out of -2x.

-12⋅(2(-x))=-32⋅6

Cancel the common factor.

-12⋅(2(-x))=-32⋅6

Rewrite the expression.

-1⋅(-x)=-32⋅6

-1⋅(-x)=-32⋅6

Multiply.

Multiply -1 by -1.

1⋅x=-32⋅6

Multiply x by 1.

x=-32⋅6

x=-32⋅6

x=-32⋅6

Simplify -32⋅6.

Cancel the common factor of 2.

Move the leading negative in -32 into the numerator.

x=-32⋅6

Factor 2 out of 6.

x=-32⋅(2(3))

Cancel the common factor.

x=-32⋅(2⋅3)

Rewrite the expression.

x=-3⋅3

x=-3⋅3

Multiply -3 by 3.

x=-9

x=-9

x=-9

Solve for x x/3-x=6