Solve 1200=5(8)(t_{2}-20)

$$1200 = 5 ( 8 ) ( t _ { 2 } - 20 )$$

Solve for t_2

$$t_{2}=50$$

Steps for Solving Linear Equation

Multiply 5 and 8 to get 40.

$$1200=40\left(t_{2}-20\right)$$

Use the distributive property to multiply 40 by t_{2}-20.

$$1200=40t_{2}-800$$

Swap sides so that all variable terms are on the left hand side.

$$40t_{2}-800=1200$$

Add 800 to both sides.

$$40t_{2}=1200+800$$

Add 1200 and 800 to get 2000.

$$40t_{2}=2000$$

Divide both sides by 40.

$$t_{2}=\frac{2000}{40}$$

Divide 2000 by 40 to get 50.

$$t_{2}=50$$