Solve 20+0.4(x-20)=0.8x

$$20 + 0.4 ( x - 20 ) = 0.8 x$$

Solve for x

$$x=30$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.4 by x-20.

$$20+0.4x-8=0.8x$$

Subtract 8 from 20 to get 12.

$$12+0.4x=0.8x$$

Subtract 0.8x from both sides.

$$12+0.4x-0.8x=0$$

Combine 0.4x and -0.8x to get -0.4x.

$$12-0.4x=0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$-0.4x=-12$$

Divide both sides by -0.4.

$$x=\frac{-12}{-0.4}$$

Expand \frac{-12}{-0.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{-120}{-4}$$

Divide -120 by -4 to get 30.

$$x=30$$