Solve 2/3x+28+20=(x-20)*2

$$\frac { 2 } { 3 } x + 28 + 20 = ( x - 20 ) \times 2$$

Solve for x

$$x=66$$

Steps for Solving Linear Equation

Add 28 and 20 to get 48.

$$\frac{2}{3}x+48=\left(x-20\right)\times 2$$

Use the distributive property to multiply x-20 by 2.

$$\frac{2}{3}x+48=2x-40$$

Subtract 2x from both sides.

$$\frac{2}{3}x+48-2x=-40$$

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

$$-\frac{4}{3}x+48=-40$$

Subtract 48 from both sides.

$$-\frac{4}{3}x=-40-48$$

Subtract 48 from -40 to get -88.

$$-\frac{4}{3}x=-88$$

Multiply both sides by -\frac{3}{4}, the reciprocal of -\frac{4}{3}.

$$x=-88\left(-\frac{3}{4}\right)$$

Express -88\left(-\frac{3}{4}\right) as a single fraction.

$$x=\frac{-88\left(-3\right)}{4}$$

Multiply -88 and -3 to get 264.

$$x=\frac{264}{4}$$

Divide 264 by 4 to get 66.

$$x=66$$