Solve (40*0.43+1x-140)*0.57=0.5x

$$( 40 \times 0.43 + 1 x - 140 ) \times 0.57 = 0.5 x$$

Solve for x

$$x = \frac{34998}{35} = 999\frac{33}{35} \approx 999.942857143$$

Steps for Solving Linear Equation

Multiply 40 and 0.43 to get 17.2.

$$\left(17.2+1x-140\right)\times 0.57=0.5x$$

Subtract 140 from 17.2 to get -122.8.

$$\left(-122.8+1x\right)\times 0.57=0.5x$$

Use the distributive property to multiply -122.8+1x by 0.57.

$$-69.996+0.57x=0.5x$$

Subtract 0.5x from both sides.

$$-69.996+0.57x-0.5x=0$$

Combine 0.57x and -0.5x to get 0.07x.

$$-69.996+0.07x=0$$

Add 69.996 to both sides. Anything plus zero gives itself.

$$0.07x=69.996$$

Divide both sides by 0.07.

$$x=\frac{69.996}{0.07}$$

Expand \frac{69.996}{0.07} by multiplying both numerator and the denominator by 1000.

$$x=\frac{69996}{70}$$

Reduce the fraction \frac{69996}{70} to lowest terms by extracting and canceling out 2.

$$x=\frac{34998}{35}$$