Solve 2-2x/3-2x=0.4

$$\frac { 2 - 2 x } { 3 - 2 x } = 0.4$$

Solve for x

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

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by -2x+3.

$$2-2x=0.4\left(-2x+3\right)$$

Use the distributive property to multiply 0.4 by -2x+3.

$$2-2x=-0.8x+1.2$$

Add 0.8x to both sides.

$$2-2x+0.8x=1.2$$

Combine -2x and 0.8x to get -1.2x.

$$2-1.2x=1.2$$

Subtract 2 from both sides.

$$-1.2x=1.2-2$$

Subtract 2 from 1.2 to get -0.8.

$$-1.2x=-0.8$$

Divide both sides by -1.2.

$$x=\frac{-0.8}{-1.2}$$

Expand \frac{-0.8}{-1.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-8}{-12}$$

Reduce the fraction \frac{-8}{-12} to lowest terms by extracting and canceling out -4.

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