Solve for x 5x^3+3x-2x^3=3x^3

$5 x^{3} + 3 x - 2 x^{3} = 3 x^{3}$

Step 1

Subtract $2 x^{3}$ from $5 x^{3}$ .

$3 x^{3} + 3 x = 3 x^{3}$

Step 2

Move all terms containing $x$ to the left side of the equation.

Subtract $3 x^{3}$ from both sides of the equation.

$3 x^{3} + 3 x - 3 x^{3} = 0$

Combine the opposite terms in $3 x^{3} + 3 x - 3 x^{3}$ .

Subtract $3 x^{3}$ from $3 x^{3}$ .

$3 x + 0 = 0$

Add $3 x$ and $0$ .

$3 x = 0$

Step 3

Divide each term in $3 x = 0$ by $3$ and simplify.

Divide each term in $3 x = 0$ by $3$ .

$\frac{3 x}{3} = \frac{0}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{0}{3}$

Divide $x$ by $1$ .

$x = \frac{0}{3}$

Simplify the right side.

Divide $0$ by $3$ .

$x = 0$