Solve 0.1(8+t)=0.5(6-2t)

$$0.1 ( 8 + t ) = 0.5 ( 6 - 2 t )$$

Solve for t

$$t=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.1 by 8+t.

$$0.8+0.1t=0.5\left(6-2t\right)$$

Use the distributive property to multiply 0.5 by 6-2t.

$$0.8+0.1t=3-t$$

Add t to both sides.

$$0.8+0.1t+t=3$$

Combine 0.1t and t to get 1.1t.

$$0.8+1.1t=3$$

Subtract 0.8 from both sides.

$$1.1t=3-0.8$$

Subtract 0.8 from 3 to get 2.2.

$$1.1t=2.2$$

Divide both sides by 1.1.

$$t=\frac{2.2}{1.1}$$

Expand \frac{2.2}{1.1} by multiplying both numerator and the denominator by 10.

$$t=\frac{22}{11}$$

Divide 22 by 11 to get 2.

$$t=2$$