Solve 2/3x-4(x-2)=20

$$\frac { 2 } { 3 } x - 4 ( x - 2 ) = 20$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by x-2.

$$\frac{2}{3}x-4x+8=20$$

Combine \frac{2}{3}x and -4x to get -\frac{10}{3}x.

$$-\frac{10}{3}x+8=20$$

Subtract 8 from both sides.

$$-\frac{10}{3}x=20-8$$

Subtract 8 from 20 to get 12.

$$-\frac{10}{3}x=12$$

Multiply both sides by -\frac{3}{10}, the reciprocal of -\frac{10}{3}.

$$x=12\left(-\frac{3}{10}\right)$$

Express 12\left(-\frac{3}{10}\right) as a single fraction.

$$x=\frac{12\left(-3\right)}{10}$$

Multiply 12 and -3 to get -36.

$$x=\frac{-36}{10}$$

Reduce the fraction \frac{-36}{10} to lowest terms by extracting and canceling out 2.

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