Solve -1/3x-5/3=-3x-9

$$- \frac { 1 } { 3 } x - \frac { 5 } { 3 } = - 3 x - 9$$

Solve for x

$$x = -\frac{11}{4} = -2\frac{3}{4} = -2.75$$

Steps for Solving Linear Equation

Add 3x to both sides.

$$-\frac{1}{3}x-\frac{5}{3}+3x=-9$$

Combine -\frac{1}{3}x and 3x to get \frac{8}{3}x.

$$\frac{8}{3}x-\frac{5}{3}=-9$$

Add \frac{5}{3} to both sides.

$$\frac{8}{3}x=-9+\frac{5}{3}$$

Convert -9 to fraction -\frac{27}{3}.

$$\frac{8}{3}x=-\frac{27}{3}+\frac{5}{3}$$

Since -\frac{27}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

$$\frac{8}{3}x=\frac{-27+5}{3}$$

Add -27 and 5 to get -22.

$$\frac{8}{3}x=-\frac{22}{3}$$

Multiply both sides by \frac{3}{8}, the reciprocal of \frac{8}{3}.

$$x=-\frac{22}{3}\times \frac{3}{8}$$

Multiply -\frac{22}{3} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-22\times 3}{3\times 8}$$

Cancel out 3 in both numerator and denominator.

$$x=\frac{-22}{8}$$

Reduce the fraction \frac{-22}{8} to lowest terms by extracting and canceling out 2.

$$x=-\frac{11}{4}$$