Solve 11/2(x-2/3)=02

$$1 \frac{ 1 }{ 2 } (x- \frac{ 2 }{ 3 } )=02$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

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

$$3\left(1\times 2+1\right)\left(x-\frac{2}{3}\right)=0\times 2$$

Multiply 1 and 2 to get 2.

$$3\left(2+1\right)\left(x-\frac{2}{3}\right)=0\times 2$$

Add 2 and 1 to get 3.

$$3\times 3\left(x-\frac{2}{3}\right)=0\times 2$$

Multiply 3 and 3 to get 9.

$$9\left(x-\frac{2}{3}\right)=0\times 2$$

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

$$9x+9\left(-\frac{2}{3}\right)=0\times 2$$

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

$$9x+\frac{9\left(-2\right)}{3}=0\times 2$$

Multiply 9 and -2 to get -18.

$$9x+\frac{-18}{3}=0\times 2$$

Divide -18 by 3 to get -6.

$$9x-6=0\times 2$$

Multiply 0 and 2 to get 0.

$$9x-6=0$$

Add 6 to both sides. Anything plus zero gives itself.

$$9x=6$$

Divide both sides by 9.

$$x=\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$x=\frac{2}{3}$$