Solve 20x*0.75=200*(x-1)*0.8

$$20x \times 0.75=200 \times (x-1) \times 0.8$$

Solve for x

$$x = \frac{32}{29} = 1\frac{3}{29} \approx 1.103448276$$

Steps for Solving Linear Equation

Multiply 20 and 0.75 to get 15.

$$15x=200\left(x-1\right)\times 0.8$$

Multiply 200 and 0.8 to get 160.

$$15x=160\left(x-1\right)$$

Use the distributive property to multiply 160 by x-1.

$$15x=160x-160$$

Subtract 160x from both sides.

$$15x-160x=-160$$

Combine 15x and -160x to get -145x.

$$-145x=-160$$

Divide both sides by -145.

$$x=\frac{-160}{-145}$$

Reduce the fraction \frac{-160}{-145} to lowest terms by extracting and canceling out -5.

$$x=\frac{32}{29}$$