Solve 420left(80-xright)=1.68left(x-10right)

$$420 \left( 80-x \right) = 1.68 \left( x-10 \right)$$

Solve for x

$$x = \frac{20010}{251} = 79\frac{181}{251} \approx 79.721115538$$

Steps for Solving Linear Equation

Use the distributive property to multiply 420 by 80-x.

$$33600-420x=1.68\left(x-10\right)$$

Use the distributive property to multiply 1.68 by x-10.

$$33600-420x=1.68x-16.8$$

Subtract 1.68x from both sides.

$$33600-420x-1.68x=-16.8$$

Combine -420x and -1.68x to get -421.68x.

$$33600-421.68x=-16.8$$

Subtract 33600 from both sides.

$$-421.68x=-16.8-33600$$

Subtract 33600 from -16.8 to get -33616.8.

$$-421.68x=-33616.8$$

Divide both sides by -421.68.

$$x=\frac{-33616.8}{-421.68}$$

Expand \frac{-33616.8}{-421.68} by multiplying both numerator and the denominator by 100.

$$x=\frac{-3361680}{-42168}$$

Reduce the fraction \frac{-3361680}{-42168} to lowest terms by extracting and canceling out -168.

$$x=\frac{20010}{251}$$