Solve 11/2(x-2/3)=0.2

$$1 \frac{ 1 }{ 2 } (x- \frac{ 2 }{ 3 } )=0.2$$

Solve for x

$$x=0.8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(1\times 2+1\right)\left(x-\frac{2}{3}\right)=1.2$$

Multiply 1 and 2 to get 2.

$$3\left(2+1\right)\left(x-\frac{2}{3}\right)=1.2$$

Add 2 and 1 to get 3.

$$3\times 3\left(x-\frac{2}{3}\right)=1.2$$

Multiply 3 and 3 to get 9.

$$9\left(x-\frac{2}{3}\right)=1.2$$

Use the distributive property to multiply 9 by x-\frac{2}{3}.

$$9x+9\left(-\frac{2}{3}\right)=1.2$$

Express 9\left(-\frac{2}{3}\right) as a single fraction.

$$9x+\frac{9\left(-2\right)}{3}=1.2$$

Multiply 9 and -2 to get -18.

$$9x+\frac{-18}{3}=1.2$$

Divide -18 by 3 to get -6.

$$9x-6=1.2$$

Add 6 to both sides.

$$9x=1.2+6$$

Add 1.2 and 6 to get 7.2.

$$9x=7.2$$

Divide both sides by 9.

$$x=\frac{7.2}{9}$$

Expand \frac{7.2}{9} by multiplying both numerator and the denominator by 10.

$$x=\frac{72}{90}$$

Reduce the fraction \frac{72}{90} to lowest terms by extracting and canceling out 18.

$$x=\frac{4}{5}$$