Solve for x 4/3=-6x-5/3

$\frac{4}{3} = - 6 x - \frac{5}{3}$

Rewrite the equation as $- 6 x - \frac{5}{3} = \frac{4}{3}$ .

$- 6 x - \frac{5}{3} = \frac{4}{3}$

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

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

$- 6 x = \frac{4}{3} + \frac{5}{3}$

Combine the numerators over the common denominator.

$- 6 x = \frac{4 + 5}{3}$

Add $4$ and $5$ .

$- 6 x = \frac{9}{3}$

Divide $9$ by $3$ .

$- 6 x = 3$

Divide each term in $- 6 x = 3$ by $- 6$ and simplify.

Divide each term in $- 6 x = 3$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{3}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{3}{- 6}$

Divide $x$ by $1$ .

$x = \frac{3}{- 6}$

Simplify the right side.

Cancel the common factor of $3$ and $- 6$ .

Factor $3$ out of $3$ .

$x = \frac{3 (1)}{- 6}$

Cancel the common factors.

Factor $3$ out of $- 6$ .

$x = \frac{3 \cdot 1}{3 \cdot - 2}$

Cancel the common factor.

$x = \frac{3 \cdot 1}{3 \cdot - 2}$

Rewrite the expression.

$x = \frac{1}{- 2}$

Move the negative in front of the fraction.

$x = - \frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{2}$

Decimal Form:

$x = - 0.5$