Solve for x 2/5x-4=8-3/5x

$\frac{2}{5} x - 4 = 8 - \frac{3}{5} x$

Combine $\frac{2}{5}$ and $x$ .

$\frac{2 x}{5} - 4 = 8 - \frac{3}{5} x$

Simplify each term.

Combine $x$ and $\frac{3}{5}$ .

$\frac{2 x}{5} - 4 = 8 - \frac{x \cdot 3}{5}$

Move $3$ to the left of $x$ .

$\frac{2 x}{5} - 4 = 8 - \frac{3 x}{5}$

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

Add $\frac{3 x}{5}$ to both sides of the equation.

$\frac{2 x}{5} - 4 + \frac{3 x}{5} = 8$

Combine the numerators over the common denominator.

$- 4 + \frac{2 x + 3 x}{5} = 8$

Add $2 x$ and $3 x$ .

$- 4 + \frac{5 x}{5} = 8$

Cancel the common factor of $5$ .

Cancel the common factor.

$- 4 + \frac{5 x}{5} = 8$

Divide $x$ by $1$ .

$- 4 + x = 8$

Move all terms not containing $x$ to the right side of the equation.

Add $4$ to both sides of the equation.

$x = 8 + 4$

Add $8$ and $4$ .

$x = 12$