Solve 1.68(80-x)=420(x-10)

$$1.68(80-x)=420(x-10)$$

Solve for x

$$x = \frac{2580}{251} = 10\frac{70}{251} \approx 10.278884462$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1.68 by 80-x.

$$134.4-1.68x=420\left(x-10\right)$$

Use the distributive property to multiply 420 by x-10.

$$134.4-1.68x=420x-4200$$

Subtract 420x from both sides.

$$134.4-1.68x-420x=-4200$$

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

$$134.4-421.68x=-4200$$

Subtract 134.4 from both sides.

$$-421.68x=-4200-134.4$$

Subtract 134.4 from -4200 to get -4334.4.

$$-421.68x=-4334.4$$

Divide both sides by -421.68.

$$x=\frac{-4334.4}{-421.68}$$

Expand \frac{-4334.4}{-421.68} by multiplying both numerator and the denominator by 100.

$$x=\frac{-433440}{-42168}$$

Reduce the fraction \frac{-433440}{-42168} to lowest terms by extracting and canceling out -168.

$$x=\frac{2580}{251}$$