Solve -2/3(x-3)-x=8

$$- \frac { 2 } { 3 } ( x - 3 ) - x = 8$$

Solve for x

$$x = -\frac{18}{5} = -3\frac{3}{5} = -3.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{2}{3} by x-3.

$$-\frac{2}{3}x-\frac{2}{3}\left(-3\right)-x=8$$

Express -\frac{2}{3}\left(-3\right) as a single fraction.

$$-\frac{2}{3}x+\frac{-2\left(-3\right)}{3}-x=8$$

Multiply -2 and -3 to get 6.

$$-\frac{2}{3}x+\frac{6}{3}-x=8$$

Divide 6 by 3 to get 2.

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

Combine -\frac{2}{3}x and -x to get -\frac{5}{3}x.

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

Subtract 2 from both sides.

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

Subtract 2 from 8 to get 6.

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

Multiply both sides by -\frac{3}{5}, the reciprocal of -\frac{5}{3}.

$$x=6\left(-\frac{3}{5}\right)$$

Express 6\left(-\frac{3}{5}\right) as a single fraction.

$$x=\frac{6\left(-3\right)}{5}$$

Multiply 6 and -3 to get -18.

$$x=\frac{-18}{5}$$

Fraction \frac{-18}{5} can be rewritten as -\frac{18}{5} by extracting the negative sign.

$$x=-\frac{18}{5}$$