Solve 8000(t-70)=4(30-t)

$$8000 ( t - 70 ) = 4 ( 30 - t )$$

Solve for t

$$t = \frac{140030}{2001} = 69\frac{1961}{2001} \approx 69.980009995$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8000 by t-70.

$$8000t-560000=4\left(30-t\right)$$

Use the distributive property to multiply 4 by 30-t.

$$8000t-560000=120-4t$$

Add 4t to both sides.

$$8000t-560000+4t=120$$

Combine 8000t and 4t to get 8004t.

$$8004t-560000=120$$

Add 560000 to both sides.

$$8004t=120+560000$$

Add 120 and 560000 to get 560120.

$$8004t=560120$$

Divide both sides by 8004.

$$t=\frac{560120}{8004}$$

Reduce the fraction \frac{560120}{8004} to lowest terms by extracting and canceling out 4.

$$t=\frac{140030}{2001}$$