Solve 3x+(2-2/3x)*2=4

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

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

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

Express -\frac{2}{3}\times 2 as a single fraction.

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

Multiply -2 and 2 to get -4.

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

Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

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

Combine 3x and -\frac{4}{3}x to get \frac{5}{3}x.

$$\frac{5}{3}x+4=4$$

Subtract 4 from both sides.

$$\frac{5}{3}x=4-4$$

Subtract 4 from 4 to get 0.

$$\frac{5}{3}x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{5}{3} is not equal to 0, x must be equal to 0.

$$x=0$$