Solve for x 5/3x+4=2/3x

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

Step 1

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

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

Step 2

Combine $\frac{2}{3}$ and $x$ .

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

Step 3

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

Subtract $\frac{2 x}{3}$ from both sides of the equation.

$\frac{5 x}{3} + 4 - \frac{2 x}{3} = 0$

Combine the numerators over the common denominator.

$4 + \frac{5 x - 2 x}{3} = 0$

Subtract $2 x$ from $5 x$ .

$4 + \frac{3 x}{3} = 0$

Cancel the common factor of $3$ .

Cancel the common factor.

$4 + \frac{3 x}{3} = 0$

Divide $x$ by $1$ .

$4 + x = 0$

Step 4

Subtract $4$ from both sides of the equation.

$x = - 4$